Question

Rewrite the following without an exponent. 1/4^-4

Answer 1

`(1)/(4^(-4)) = 256`

Explanation:

Given

`(1)/(4^(-4))`

Required

Write without the exponent

`(1)/(4^(-4))`

Apply the following law of indices

`(1)/(a^m) = a^(-m)`

So, we have:

`(1)/(4^(-4)) = 4^(-(-4))`

Evaluate the bracket

`(1)/(4^(-4)) = 4^4`

`(1)/(4^(-4)) = 256`