Question

Select the correct answer.

Simplify the expression so there is only one positive power for each base.
(5^-2 • 4^-4)^-2

Answer 1

A

Explanation:

using the rule of exponents

•
`(a^m)^(n)` =
`a^(mn)`

given

(
`(5^(-2)*4^(-4)) ^-{2}`

=
`(5^(-2)) ^(-2)` ×
`(4^(-4)) ^(-2)`

=
`5^(-2(-2))` ×
`4^(-4(-2))`

=
`5^(4)` ×
`4^(8)`