How do you simplify \frac { ( w ^ { 3} ) ^ { 2} ( w ^ { 4} ) ^ { 5} } { ( w ^ { 4} ) ^ { 2} }?

1 Answer
May 24, 2017

w^18

Explanation:

You would simplify the exponents

(w^3)^2 = w^6
(w^4)^5 = w^20
(w^4)^2 = w^8

You end up with this:

(w^6* w^20)/w^8

Using multiplication exponent rule:

(w^26)/w^8

Using division exponent rule and you end up with this:

w^18