Question

How do you simplify `(\frac { a ^ { 5} b ^ { 2} } { c } ) ^ { 7}`?

Answer 1

`((a^5b^2)/c)^7=color(blue)((a^35b^14)/(c^7)`

Explanation:

Simplify:

`((a^5b^2)/c)^7`

Apply power rule: `(a^m)^n=a^(m*n)`

`((a^(5*7)b^(2*7))/(c^(1*7)))`

Simplify.

`(a^35b^14)/(c^7)`