Question

Find the missing exponent.

Answer 1

Hello!

`\large\boxed{-4}`

Exponent rules state that:

`(x^(a))^(b) = x^(a*b)`

Therefore:

`(b^(2) )^(x)= b^(-8)`

We can ignore the b to solve for x. Use the exponent rule above:

2 · x = -8

2x = -8

Divide both sides by 2:

2x/2 = -8/2

x = -4.