Question

Which expression is equivalent to 6^–3?

A) –63

B) 36

C) 3sqrt/6

D) (1/6)^3

Answer 1

Expression 6^–3 can be rewritten as:
1/6^3 = (1/6)^3

Therefore the answer is D

Hope that helps you

Answer 2

Answer:

$6^{-3}$

Step-by-step explanation:

Given : $6^{-3}$

To Find: Which expression is equivalent to $6^{-3}$

Solution:

Identity :$x ^{-1}=\frac{1}{x}$

So, $6^{-3}$ = $(\frac{1}{6})^3$

$6^{-3}$ = $(\frac{1}{6})^3$

So, $(\frac{1}{6})^3$ is equivalent to $6^{-3}$

Thus Option D is correct.