Question

can some please explain to me how my teacher get to the part that i highlight. (2^-5)^-3x i'm so lost someone please explain

Answer 1

see explanation

Explanation:

using the rules of exponents

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

then

`(1)/(32)` =
`(1)/(2^5)` =
`2^(-5)`

and

`(a^m)^(n)` =
`a^(mn)` , so

`(2^(-5)) ^(-3x)`