Deck 5: Exponents and Polynomials

Question 1

Multiply and leave your answer in exponent form.
$\left( 5 x ^ { 3 } y \right) \left( 6 x ^ { 5 } y ^ { 2 } \right)$

A) $30 x ^ { 15 } y ^ { 2 }$
B) $30 x ^ { 8 } y ^ { 3 }$
C) $11 x ^ { 8 } y ^ { 2 }$
D) $30 x ^ { 8 } y ^ { 2 }$

Answer 1

B

Question 2

Multiply and leave your answer in exponent form.
$$\left( x ^ { 3 } \right) \left( x ^ { 4 } \right)$$

A) $( 2 x ) ^ { 7 }$
B) $x ^ { 7 }$
C)2x⁷
D) $x ^ { 12 }$

Answer 2

B

Question 3

Multiply and leave your answer in exponent form.
$$\left( - 3 x ^ { 4 } y ^ { 5 } \right) \left( 8 x y ^ { 5 } \right) \left( - 6 x ^ { 3 } y \right)$$

A) $- 1 x ^ { 12 } y ^ { 25 }$
B) $x ^ { 12 } y ^ { 25 }$
C) $- 1 x ^ { 8 } y ^ { 11 }$
D) $\mathrm { x } ^ { 8 } \mathrm { y } ^ { 11 }$

Answer 3

D

Question 4

Divide. Leave your answer in exponent form. Assume that all variables in any denominator are nonzero.
$\frac { s ^ { 5 } t ^ { 15 } } { s ^ { 2 } t }$

A) $s ^ { 3 } t ^ { 13 }$
B) $s ^ { 7 } t ^ { 16 }$
C) $s ^ { 3 } t ^ { 14 }$
D) $s ^ { 3 } t 15$

Question 5

Multiply and leave your answer in exponent form.
$\left( 9 ^ { 10 } \right) \left( 9 ^ { 20 } \right)$

A) $81 ^ { 30 }$
B) $9 ^ { 10 }$
C) 9 ²⁰⁰
D) 9³⁰

Question 6

Multiply and leave your answer in exponent form.
$$\left( - 2 a ^ { 5 } b \right) \left( - 7 a ^ { 3 } b ^ { 4 } \right) ( 0 )$$

A) $14 a ^ { 8 } b ^ { 5 }$
B) 1
C) $14 a ^ { 5 } b ^ { 4 }$
D) 0

Question 7

Multiply and leave your answer in exponent form.
$$\left( 2 x ^ { 5 } y \right) \left( - 6 x ^ { 2 } y ^ { 4 } \right)$$

A) $- 12 x ^ { 7 } y ^ { 5 }$
B) $- 12 x ^ { 7 } y ^ { 4 }$
C) $- 12 x ^ { 10 } y ^ { 4 }$
D) $12 x ^ { 7 } y ^ { 4 }$

Question 8

Multiply and leave your answer in exponent form.
$( 7 x ) \left( 8 x ^ { 5 } \right) \left( x ^ { 7 } \right)$

A) $56 \mathrm { x } ^ { 12 }$
B) $15 x ^ { 12 }$
C) $56 x ^ { 13 }$
D) $16 \mathrm { x } ^ { 13 }$

Question 9

Multiply and leave your answer in exponent form.
$$\left( - 5 x ^ { 4 } \right) \left( - 9 x ^ { 6 } \right)$$

A) $- 45 x 10$
B) $- 45 x ^ { 24 }$
C) $45 x ^ { 10}$
D) $45 x ^ { 24 }$

Question 10

Write in simplest exponent form.
9 ·9 ·9 ·9 · x · x · x A) $9 ^ { 5 } x ^ { 3 }$
B) $9 ^ { 4 } x ^ { 3 }$
C) $6 x ^ { 3 }$
D) $9 x ^ { 7 }$

Question 11

Divide. Leave your answer in exponent form. Assume that all variables in any denominator are nonzero.
$\frac { z ^ { 13 } } { z ^ { 12 } }$

A) $\mathrm { z }$
B) $\frac { 1 } { z }$
C) $\mathrm { z } ^ { 25 }$
D) $z ^ { 13 } - z ^ { 12 }$

Question 12

Divide. Leave your answer in exponent form. Assume that all variables in any denominator are nonzero.
$\frac { 12 m ^ { 3 } n ^ { 10 } } { 4 m ^ { 2 } n ^ { 7 } }$

A) $3 n ^ { 3 }$
B) $3 m n ^ { 3 }$
C) $12 \mathrm { mn } ^ { 3 }$
D) $3 m ^ { 5 } n$

Question 13

Multiply and leave your answer in exponent form.
$\left( 5 ^ { 9 } \right) \left( 5 ^ { 8 } \right)$

A) 5⁷²
B) 25⁷²
C) 25¹⁷
D) 5¹⁷

Question 14

Multiply and leave your answer in exponent form.
$$\left( - 8 x ^ { 6 } y \right) \left( - 8 x ^ { 3 } y ^ { 5 } \right)$$

A) $- 64 x ^ { 9 } y ^ { 5 }$
B) $- 16 x ^ { 9 } y ^ { 5 }$
C) $64 x ^ { 9 } y ^ { 6 }$
D) $64 x ^ { 18 } y ^ { 5 }$

Question 15

Write in simplest exponent form.
4 ·4 ·4 ·4 ·4 ·4 · x · x A) $4 ^ { 6 } x ^ { 2 }$
B) $6 ^ { 4 } x ^ { 2 }$
C) $24 x ^ { 2 }$
D) $4^5 x ^ { 2 }$

Question 16

Multiply and leave your answer in exponent form.
$$\left( \mathrm { z } ^ { 10 } \right) \left( \mathrm { z } ^ { 14 } \right)$$

A) $z ^ { 4 }$
В) $z ^ { 140 }$
c)2 $z ^ { 24 }$
D) $z ^ { 24 }$

Question 17

Write in simplest exponent form.
x · x · x · x A) $4 x$
B) $4 ^ { x }$
C) 4
D) $x ^ { 4 }$

Question 18

Divide. Leave your answer in exponent form. Assume that all variables in any denominator are nonzero.
$\frac { 15 x ^ { 7 } y ^ { 5 } } { 75 x ^ { 4 } y ^ { 9 } }$

A) $5 x ^ { 3 } y ^ { 4 }$
B) $\frac { x ^ { 11 } } { 5 y ^ { 14 } }$
C) $\frac { 5 x ^ { 3 } } { y ^ { 4 } }$
D) $\frac { x ^ { 3 } } { 5 y ^ { 4 } }$

Question 19

Divide. Leave your answer in exponent form. Assume that all variables in any denominator are nonzero.
$\frac { 3 ^ { 16 } } { 3 ^ { 14 } }$

A) $- 3 ^ { 2 }$
B) $\frac { 1 } { 3 ^ { 2 } }$
C) $\frac { 1 } { - 3 ^ { 2 } }$
D) $3 ^ { 2 }$

Question 20

Divide. Leave your answer in exponent form. Assume that all variables in any denominator are nonzero.
$\frac { a ^ { 9 } } { a }$

A) $a ^ { 9 } - a$
B) $a ^ { 8 }$
C) $a 10$
D) 9

Question 21

Simplify. Express your answer with positive exponents. Assume that all variables are nonzero.
$x^{-2}$

A) $\frac { 1 } { x ^ { 2 } }$
B) $- x ^ { 2 }$
C) $x ^ { 1 / 2 }$
D) $= -\frac { 1 } { x ^ { 2 } }$

Question 22

Divide. Leave your answer in exponent form. Assume that all variables in any denominator are nonzero.
$\frac { 14 x ^ { 7 } y ^ { 5 } z ^ { 6 } } { 98 x ^ { 3 } y ^ { 8 } }$

A) $\frac { 7 x ^ { 4 } z ^ { 6 } } { y ^ { 3 } }$
B) $\frac { 7 x ^ { 4 } } { y ^ { 3 } z ^ { 6 } }$
C) $\frac { x ^ { 4 } } { 7 y ^ { 3 } }$
D) $\frac { x ^ { 4 } z ^ { 6 } } { 7 y ^ { 3 } }$

Question 23

Divide. Leave your answer in exponent form. Assume that all variables in any denominator are nonzero.
$( - 3 x y ) ^ { 4 }$

A) $81 x y$
B) $- 12 x ^ { 4 } y ^ { 4 }$
C) $81 x ^ { 4 } y ^ { 4 }$
D) $- 12 x y$

Question 24

Simplify. Express your answer with positive exponents. Assume that all variables are nonzero.
$2 ^ { - 4 }$

A) $\frac { 1 } { 8 }$
B) $\frac { 1 } { 16 }$
C) 16
D) $- 16$

Question 25

Divide. Leave your answer in exponent form. Assume that all variables in any denominator are nonzero.
$( 5 a ) ^ { 3 }$

A) $125 a ^ { 3 }$
B) $15 a ^ { 3 }$
C) $15 a$
D) $125 a$

Question 26

Simplify. Express your answer with positive exponents. Assume that all variables are nonzero.
$\frac { 1 } { y ^ { - 5 } }$

A) $- y ^ { 5 }$
B) $y ^ { 1 / 5 }$
C) $y ^ { 5 }$
D) $- \mathrm { y } ^ { 1 / 5 }$

Question 27

Divide. Leave your answer in exponent form. Assume that all variables in any denominator are nonzero.
$\left( 5 x ^ { 5 } y ^ { 8 } \right) ^ { 2 }$

A) $10 x ^ { 5 } y ^ { 8 }$
B) $5 \mathrm { x } ^{10} \mathrm { y } ^{ 16}$
C) $25 \mathrm { x }^{ 10} , \mathrm { y }^{16}$
D) $5 \mathrm { x } ^ { 7 } \mathrm { y } ^ { 10 }$

Question 28

Simplify. Express your answer with positive exponents. Assume that all variables are nonzero.
$$\left( x ^ { - 4 } y ^ { 6 } \right) ^ { - 1 }$$

A) $\frac { 1 } { x ^ { 4 } y ^ { 6 } }$
B) $\frac { x ^ { 4 } } { y ^ { 6 } }$
C) $\frac { y ^ { 5 } } { x ^ { - 5 } }$
D) $\frac { x ^ { - 5 } } { y ^ { 5 } }$

Question 29

Divide. Leave your answer in exponent form. Assume that all variables in any denominator are nonzero.
$\frac { 17 ^ { 0 } x ^ { 7 } y ^ { 4 } } { 119 x ^ { 5 } y ^ { 9 } }$

A) $\frac { x ^ { 2 } } { 7 y ^ { 5 } }$
B) $\frac { x ^ { 2 } } { 119 y ^ { 5 } }$
C) $119 x ^ { 2 } y ^ { 5 }$
D) $\frac { x ^ { 12 } } { 119 y ^ { 13 } }$

Question 30

Divide. Leave your answer in exponent form. Assume that all variables in any denominator are nonzero.
$\left( x ^ { 5 } y \right) ^ { 2 }$

A) $x ^ { 7 } y$
B) $x ^ { 7 } y ^ { 3 }$
C) $x ^ { 10 } y ^ { 2 }$
D) $x ^ { 10 } y$

Question 31

Simplify. Express your answer with positive exponents. Assume that all variables are nonzero.
$\frac { x ^ { 2 } } { x ^ { - 9 } }$

A) $\frac { 1 } { x ^ { 11 } }$
B) $x ^ { 18 }$
C) $x^{ 11}$
D) $\frac { 1 } { x ^ { 18 } }$

Question 32

Simplify. Express your answer with positive exponents. Assume that all variables are nonzero.
$\frac { x ^ { 2 } y ^ { - 8 } } { z ^ { - 5 } }$

A) $\frac { y ^ { 8 } } { x ^ { 2 } z ^ { 5 } }$
B) $\frac { x ^ { 2 } z ^ { 5 } } { y ^ { 8 } }$
C) $\frac { z ^ { 5 } } { x ^ { 2 } y ^ { 8 } }$
D) $\frac { x ^ { 2 } z ^ { 8 } } { y ^ { 5 } }$

Question 33

Simplify. Express your answer with positive exponents. Assume that all variables are nonzero.
$\frac { 3 x ^ { - 2 } y ^ { - 2 } } { 8 z ^ { - 5 } }$

A) $\frac { 3 z ^ { 5 } } { 8 x ^ { 2 } y ^ { 2 } }$
B) $\frac { 8 z ^ { 5 } } { 3 x ^ { 2 } y ^ { 2 } }$
C) $\frac { 3 } { 8 x ^ { 2 } y ^ { 2 } z ^ { 5 } }$
D) $\frac { 32,768 z ^ { 5 } } { 9 x ^ { 2 } y ^ { 2 } }$

Question 34

Divide. Leave your answer in exponent form. Assume that all variables in any denominator are nonzero.
$\left( \frac { x y ^ { 3 } } { z ^ { 4 } } \right) ^ { 7 }$

A) $\frac { x ^ { 7 } y ^ { 10 } } { z ^ { 11 } }$
B) $\frac { x ^ { 7 } y ^ { 21 } } { z ^ { 28 } }$
C) $\frac { x y ^ { 10 } } { z ^ { 11 } }$
D) $\frac { x y ^ { 21 } } { z ^ { 28 } }$

Question 35

Divide. Leave your answer in exponent form. Assume that all variables in any denominator are nonzero.
$\left( x ^ { 5 } \right) ^ { 6 }$

A) $6 x ^ { 5 }$
B) $6 x ^ { 30 }$
C) $x ^ { 30 }$
D) $x ^ { 11 }$

Question 36

Divide. Leave your answer in exponent form. Assume that all variables in any denominator are nonzero.
$$\left( \frac { 3 x ^ { 2 } y ^ { 3 } } { z ^ { 4 } } \right) ^ { 3 }$$

A) $\frac { 3 x ^ { 6 } y ^ { 9 } } { z ^ { 7 } }$
B) $\frac { 3 x ^ { 6 } y ^ { 9 } } { z ^ { 12 } }$
C) $\frac { 27 x ^ { 6 } y ^ { 9 } } { z ^ { 12 } }$
D) $\frac { 27 x ^ { 5 } y ^ { 6 } } { z ^ { 7 } }$

Question 37

Simplify. Express your answer with positive exponents. Assume that all variables are nonzero.
$$x ^ { - 8 } \cdot x ^ { 2 }$$

A) $- x ^ { 6 }$
B) $x ^ { 6 }$
C) $- \frac { 1 } { x ^ { 6 } }$
D) $\frac { 1 } { x ^ { 6 } }$

Question 38

Divide. Leave your answer in exponent form. Assume that all variables in any denominator are nonzero.
$( - 2 a ) ^ { 6 }$

A) $- 12 a$
B) $a 6$
C) $- 12 a ^ { 6 }$
D) $a$

Question 39

Divide. Leave your answer in exponent form. Assume that all variables in any denominator are nonzero.
$\left( 9 a ^ { 3 } b ^ { 6 } c ^ { 0 } \right) ^ { 2 }$

A) 0
B) $9 a ^ { 6 } b ^ { 12 }$
C) $81 a ^ { 6 } b ^ { 12 } c ^ { 2 }$
D) $81 a ^ { 6 } b ^ { 12 }$

Question 40

Divide. Leave your answer in exponent form. Assume that all variables in any denominator are nonzero.
$\frac { \left( x ^ { 2 } \right) ^ { 4 } } { ( 2 x ) ^ { 3 } }$

A) $\frac { x ^ { 5 } } { 8 }$
B) $\frac { x ^ { 5 } } { 2 }$
C) $\frac { x ^ { 11 } } { 8 }$
D) $\frac { x ^ { 3 } } { 8 }$

Question 41

Write in scientific notation.
660,000 A) $6.6 \times 10 ^ { - 4 }$
B) $6.6 \times 10 ^ { 5 }$
C) $6.6 \times 10 ^ { 4 }$
D) $6.6 \times 10 ^ { - 5 }$

Question 42

Write in scientific notation.
6,400,000 A) $6.4 \times 10 ^ { - 7 }$
B) $6.4 \times 10 ^ { - 6 }$
C) $6.4 \times 10 ^ { 7 }$
D) $6.4 \times 10 ^ { 6 }$

Question 43

Write in decimal notation.
$1.686 \times 10 ^ { - 5 }$

A) $0.00001686$
B) $0.0001686$
C) $- 168,600$
D) $0.000001686$

Question 44

Write in scientific notation.
0.000007714 A) $7.714 \times 10 ^ { - 7 }$
В) $7.714 \times 10 ^ { 6 }$
C) $7.714 \times 10 ^ { - 5 }$
D) $7.714 \times 10 ^ { - 6 }$

Question 45

Write in scientific notation.
844.508 A) $8.44508 \times 10 ^ { 1 }$
B) $8.44508 \times 10 ^ { - 2 }$
C) $8.44508 \times 10 ^ { - 1 }$
D) $8.44508 \times 10 ^ { 2 }$

Question 46

Simplify. Express your answer with positive exponents. Assume that all variables are nonzero.
$$\left( - 4 x ^ { - 3 } \right) \left( 9 x ^ { - 5 } \right)$$

A) $x ^ { 15 }$
B) $- 36 x ^ { 8 }$
C) $- 36 x ^{15}$
D) $\frac { - 36 } { x ^ { 8 } }$

Question 47

Write in scientific notation.
0.0000000481018

Question 48

Write in scientific notation.
0.000066611 A) $6.6611 \times 10 ^ { - 5 }$
B) $6.6611 \times 10 ^ { 5 }$
C) $6.6611 \times 10 ^ { 4 }$
D) $6.6611 \times 10 ^ { - 4 }$

Question 49

Write in scientific notation.
0.000000 A) $7.68015 \times 10 ^ { - 6 }$
В) $7.68015 \times 10 ^ { 7 }$
C) $7.68015 \times 10 ^ { 6 }$
D) $7.68015 \times 10 ^ { - 7 }$ 768015

Question 50

Simplify. Express your answer with positive exponents. Assume that all variables are nonzero.
$$\left( 2 x ^ { - 5 } y ^ { 5 } z ^ { - 4 } \right) ^ { - 2 }$$

A) $\frac { y ^ { 7 } } { 4 x ^ { 7 } z ^ { 6 } }$
B) $\frac { x ^ { 10 } z ^ { 8 } } { - 4 y ^ { - 10 } }$
C) $\frac { y ^ { 7 } } { - 4 x ^ { 7 } z ^ { 6 } }$
D) $\frac { x ^ { 10 } z ^ { 8 } } { 4 y ^ { 10 } }$

Question 51

Write in decimal notation.
$1.37 \times 10 ^ { 7 }$

A) $13,700,000$
B) $95.9$
C) $137,000,000$
D) $1,370,000$

Question 52

Write in scientific notation.
3582 A) $3.582 \times 10 ^ { 1 }$
B) $3.582 \times 10 ^ { - 3 }$
C) $3.582 \times 10 ^ { 4 }$
D) $3.582 \times 10 ^ { 3 }$

Question 53

Write in decimal notation.
$$4.5369 \times 10 ^ { 5 }$$

A) 453,690
B) $4,536,900$
C) $226.845$
D) 45,369

Question 54

Write in scientific notation.
0.000896 A) $8.96 \times 10 ^ { - 5 }$
B) $8.96 \times 10 ^ { - 4 }$
C) $8.96 \times 10 ^ { 4 }$
D) $8.96 \times 10 ^ { - 3 }$

Question 55

Write in decimal notation.
$$9.254 \times 10 ^ { - 6 }$$

A) $0.000009254$
В) $- 9,254,000$
C) $0.00009254$
D) $0.0000009254$

Question 56

Write in decimal notation.
$8.727 \times 10 ^ { 6 }$

A) 872,700
B) $87,270,000$
C) $523.62$
D) $8,727,000$

Question 57

Write in scientific notation.
264.54 A) $2.6454 \times 10 ^ { - 2 }$
B) $2.6454 \times 10^{1}$
C) $2.6454 \times 10 ^ { 2 }$
D) $2.6454 \times 10 ^ { - 1 }$

Question 58

Simplify. Express your answer with positive exponents. Assume that all variables are nonzero.
$\left( \frac { x y ^ { 5 } } { x ^ { 6 } y } \right) ^ { - 2 }$

A) $\frac { y ^ { 8 } } { x ^ { 10 } }$
B) $\frac { x ^ { 10 } } { y ^ { 8 } }$
C) $\frac { 1 } { x ^ { 14 } y ^ { 12 } }$
D) $\frac { 1 } { x ^ { 8 } y ^ { 11 } }$

Question 59

Write in decimal notation.
$1.77 \times 10 ^ { - 4 }$

A) $- 177,000$
B) $0.00177$
C) $0.0000177$
D) $0.000177$

Question 60

Simplify. Express your answer with positive exponents. Assume that all variables are nonzero.
$$\left( 4 x ^ { 6 } y ^ { 5 } \right) ^ { - 2 }$$

A) $16 x ^ { 12 } y ^ { 10 }$
B) $\frac { 1 } { 16 x ^ { 12 } y ^ { 10 } }$
C) $\frac { 1 } { 4 x ^ { 12 } y ^ { 10 } }$
D) $\frac { 16 } { x ^ { 12 } y ^ { 10 } }$

Question 61

Solve.
A computer compiles a program in 0.000885 seconds. Write this in scientific notation. A) $8.85 \times 10 ^ { 3 }$
B) $8.85 \times 10 ^ { - 4 }$
C) $8.85 \times 10 ^ { - 6 }$
D) $8.85 \times 10 ^ { - 5 }$

Question 62

Solve.
If the mass of an object is $5.50756 \times 10 ^ { 3 }$ tons and its density is $6.28 \times 10 ^ { - 2 }$ tons per cubic foot, find the volume of this object. (Use the formula $\mathrm { D } = \frac { \mathrm { M } } { \mathrm { V } }$ and round to the nearest hundredth, if necessary.)

A) $8.77 \times 10 ^ { 3 }$ cubic feet
B) $8.77 \times 10 ^ { 4 }$ cubic feet
C) $8.77 \times 10 ^ { 5 }$ cubic feet
D) $87.7 \times 10 ^ { 4 }$ cubic feet

Question 63

Write in decimal notation.
$$2.0138 \times 10 ^ { - 7 }$$

A) $0.0000020138$
В) $0.000000020138$
C) $- 201380,000$
D) $0.00000020138$

Question 64

Evaluate by using scientific notation and the laws of exponents. Leave you answer in scientific notation.
$$( 180,000,000 ) ( 0.00003 ) ( 2000 ) ( 0.003 )$$

A) $3.24 \times 10 ^ { 5 }$
B) $3.24 \times 10 ^ { 6 }$
C) $3.24 \times 10 ^ { 3 }$
D) $3.24 \times 10 ^ { 4 }$

Question 65

Evaluate by using scientific notation and the laws of exponents. Leave you answer in scientific notation.
$\frac { ( 5,000,000 ) ( 78,000 ) } { 39,000,000,000 }$

A) $1.0$
B) $1.0 \times 10 ^ { 1 }$
C) $1.0 \times 10 ^ { - 1 }$
D) $1.0 \times 2$

Question 66

Evaluate by using scientific notation and the laws of exponents. Leave you answer in scientific notation.
$( 0.0075 ) ( 0.0000008 ) ( 0.001 )$

A) $6.0 \times 10 ^ { - 12 }$
B) $6.0 \times 10 ^ { - 14 }$
C) $6.0 \times 10 ^ { - 11 }$
D) $6.0 \times 10 ^ { - 13 }$

Question 67

Solve.
The sun radiates energy into space at the rate of $3.9 \times 10 ^ { 26 }$ joules per second. How many joules are emitted in three weeks?

A) $7.07616 \times 10 ^ { 26 }$ joules
B) $7.07616 \times 10 ^ { 32 }$ joules
C) $7.07616 \times 10 ^ { 53 }$ joules
D) $7.07616 \times 10 ^ { 59 }$ joules

Question 68

Solve.
A particle is observed moving at $2.18 \times 10 ^ { - 3 }$ meters per second. Find the distance the particle would travel in $1.82 \times 10 ^ { - 4 }$ seconds.

A) $3.97 \times 10 ^ { - 8 }$ meters
B) $0.40 \times 10 ^ { - 7 }$ meters
C) $3.97 \times 10 ^ { - 6 }$ meters
D) $3.97 \times 10 ^ { - 7 }$ meters

Question 69

Solve.
Approximately $7 \times 10 ^ { 3 }$ employees of a certain company average $\$ 30,000$ each year in salary. What is the total amount earned by all the employees of this company per year? Write your answer in scientific notation.

A) $\$ 21 \times 10 ^ { 9 }$
B) $\$ 21 \times 10 ^ { 8 }$
C) $\$ 2.1 \times 10 ^ { 9 }$
D) $\$ 2.1 \times 10 ^ { 8 }$

Question 70

Evaluate by using scientific notation and the laws of exponents. Leave you answer in scientific notation.
$$\frac { ( 0.00032 ) ( 0.0002 ) } { 0.0008 }$$

A) $8 \times 10 ^ { - 5 }$
B) $64 \times 10 ^ { - 6 }$
C) $8 \times 10 ^ { 5 }$
D) $64 \times 10 ^ { 6 }$

Question 71

Solve.
The mass of an electron is approximately $9.11 \times 10 ^ { - 28 }$ grams. Find the mass of $260,000,000$ electrons.

A) $2.3686 \times 10 ^ { - 20 }$ grams
B) $2.3686 \times 10 ^ { - 18 }$ grams
C) $2.3686 \times 10 ^ { - 19 }$ grams
D) $2.3686 \times 10 ^ { - 17 }$ grams

Question 72

Evaluate by using scientific notation and the laws of exponents. Leave you answer in scientific notation.
$\frac { 12,000,000,000 } { 0.00002 }$

A) $6 \times 10 ^ { 14 }$
B) $10 \times 10 ^ { 13 }$
C) $10 \times 10 ^ { 14 }$
D) $6 \times 10 ^ { 13 }$

Question 73

Evaluate by using scientific notation and the laws of exponents. Leave you answer in scientific notation.
$$( 0.00004 ) ^ { 3 }$$

A) $6.4 \times 10 ^ { - 13 }$
B) $6.4 \times 10 ^ { - 14 }$
C) $1.2 \times 10 ^ { - 14 }$
D) $6.4 \times 10 ^ { - 11 }$

Question 74

Solve.
In a state with a population of 5,000,000 people, the average citizen spends $6,000 on housing each year. What is the total spent on housing for the state? Write your answer in scientific notation.

A) $\$ 30 \times 10 ^ { 11 }$
B) $\$ 3 \times 10 ^ { 10 }$
C) $\$ 30 \times 10 ^ { 10 }$
D) $\$ 3 \times 10 ^ { 9 }$

Question 75

Solve.
$$- 6 x ^ { 3 }$$

A) monomial, degree $- 6$
B) binomial, degree $- 6$
C) binomial, degree 3
D) monomial, degree 3

Question 76

Solve.
$- 9 x y ^ { 9 }$

A) monomial, degree is 1
B) monomial, degree 9
C) binomial, degree 10
D) monomial, degree 10

Question 77

Solve.

A) binomial, degree 0
B) monomial, degree $- 9$
C) monomial, degree 1
D) monomial, degree 0

Question 78

Solve.
A computer compiles a program in $8.637 \times 10 ^ { - 6 }$ seconds. Write this in decimal notation.

A) $0.0000008637$
B) $0.00008637$
C) $- 8,637,000$
D) $0.000008637$

Question 79

Solve.
If the mass of an object is $4.61825 \times 10 ^ { - 5 }$ tons and its volume is $7.25 \times 10 ^ { - 3 }$ cubic feet, find the density of this object. (Use the formula $D = \frac { M } { V }$ and round to the nearest hundredth, if necessary.)

A) $6.37 \times 10 ^ { - 2 }$ tons per cubic foot
B) $6.37 \times 10 ^ { - 3 }$ tons per cubic foot
C) $6.37 \times 10 ^ { - 4 }$ tons per cubic foot
D) $63.7 \times 10 ^ { - 3 }$ tons per cubic foot

Question 80

Solve.
If the density of a substance is $5.21 \times 10 ^ { - 4 }$ tons per cubic foot, what would be the mass of $8.51 \times 10 ^ { - 3 }$ cubic feet of this substance. (Use the formula $D = \frac { M } { V }$ and round to the nearest hundredth, if necessary.)

A) $4.43 \times 10 ^ { - 7 }$ tons
B) $4.43 \times 10 ^ { - 6 }$ tons
C) $0.44 \times 10 ^ { - 6 }$ tons
D) $4.43 \times 10 ^ { - 5 }$ tons