Use the rules of exponents to simplify the expression below.
$\left[ \frac { \left( 3 x ^ { 2 } \right) ( 3 x ) ^ { 2 } } { \left( - 3 x ^ { 2 } \right) ( 3 x ) } \right] ^ { 3 }$
A) $- 26 x ^ { 7 }$
B) $- 28 x ^ { 3 }$
C) $- 27 x ^ { 3 }$
D) $- 37 x ^ { 6 }$
E) $- 17 x ^ { 8 }$

Question

Use the rules of exponents to simplify the expression below. 
$\left[ \frac { \left( 3 x ^ { 2 } \right) ( 3 x ) ^ { 2 } } { \left( - 3 x ^ { 2 } \right) ( 3 x ) } \right] ^ { 3 }$
A) $- 26 x ^ { 7 }$
B) $- 28 x ^ { 3 }$
C) $- 27 x ^ { 3 }$
D) $- 37 x ^ { 6 }$
E) $- 17 x ^ { 8 }$

Quizplus · Accepted Answer

First, simplify the numerator and denominator separately using the rules of exponents: 
$$\frac{(3x^2)(3x)^2}{(-3x^2)(3x)} = \frac{27x^4}{-9x^3} = -3x$$

Now the expression becomes: 
$$(-3x)^3 = -27x^3$$

Therefore, the answer is C.

Use the Rules of Exponents to Simplify the Expression Below [(3x2)(3x)2(−3x2)(3x)]3\left[ \frac { \left( 3 x ^ { 2 } \right) ( 3 x ) ^ { 2 } } { \left( - 3 x ^ { 2 } \right) ( 3 x ) } \right] ^ { 3 }[(−3x2)(3x)(3x2)(3x)2​]3

Use the Rules of Exponents to Simplify the Expression Below $\left[ \frac { \left( 3 x ^ { 2 } \right) ( 3 x ) ^ { 2 } } { \left( - 3 x ^ { 2 } \right) ( 3 x ) } \right] ^ { 3 }$