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

`6^(-3)`

Explanation:

Given :
`6^(-3)`

To Find: Which expression is equivalent to
`6^(-3)`

Solution:

Identity :
`x ^(-1)=(1)/(x)`

So,
`6^(-3)` =
`((1)/(6))^3`

`6^(-3)` =
`((1)/(6))^3`

So,
`((1)/(6))^3` is equivalent to
`6^(-3)`

Thus Option D is correct.