Perform the indicated operation. (Write the result in scientific notation with the decimal part rounded to three significant digits when necessary). $\left( \frac { 41,000 \times 0.015075 } { 0.0067 } \right) ^ { 2 }$
A) $8.511 \times 10 ^ { - 8 }$
B) $8.511 \times 10 ^ { - 9 }$
C) $8.511 \times 10 ^ { 9 }$
D) $8.51 \times 10 ^ { 8 }$
E) $8.51 \times 10 ^ { 9 }$

Question

Quizplus · Accepted Answer

First, we simplify the expression inside the parentheses:

$$\frac{41{,}000 	imes 0.015075}{0.0067} \approx 92{,}217.9104$$

Rounding this to 3 significant digits and putting it in scientific notation, we get:

$$9.222 	imes 10^4$$

Now we square this result:

$$(9.222 	imes 10^4)^2 = 8.510784 	imes 10^9$$

Rounding this to 3 significant digits and putting it in scientific notation, we get:

$$8.51 	imes 10^9$$

Therefore, the answer is: E.

Perform the Indicated Operation (41,000×0.0150750.0067)2\left( \frac { 41,000 \times 0.015075 } { 0.0067 } \right) ^ { 2 }(0.006741,000×0.015075​)2

Perform the Indicated Operation $\left( \frac { 41,000 \times 0.015075 } { 0.0067 } \right) ^ { 2 }$