Question

How do you simplify `(\frac { 16y ^ { 8} } { 4y ^ { 3} } ) ^ { - 4}`?

Answer 1

Just distribute the -4 exponent to the rest of the terms within the parentheses and cancel the corresponding terms out to reach the answer in simplest form.

Explanation:

`((16y^8)/(4y^3))^-4`

Following the order of operations, simplify the terms within the parentheses.

`=(4y^5)^-4`

Distribute the -4 exponent and get the answer into the fraction form (if you do not want negative exponents).

`=1/(256y^20)`