Question

Represent the following expressions as a power of the number a (a≠0):

1) (a³)⁻²

2) (a⁻¹·a⁻²)⁻³

3) ((a²)⁻²)²

4) (a·a)²

PLEASE HELP ME ASAP!

Answer 1

Explanation:

1)
`(a^3)^(-2)  = a^(-6)\\`

2)
`(a^(-1) * a^(-2) )^(-3) = (a^(-1 + (-2)))^(-3) }=a^(-9)`

3)
`((a^(2))^(-2))^(2)=(a^(-4))^(2)=(a^(-8))`

4)
`(a*a)^(2) =  (a^(2))^(2)=a^(4)`