Question

How do you simplify `(\frac { 2p ^ { 8} q ^ { 5} } { 3r ^ { 6} } ) ^ { 3}`?

Answer 1

`(8p^24q^15)/(27r^18)`

Explanation:

Given: `((2p^8q^5)/(3r^6))^3`

Use the exponent rule: `(x^m)^n = x^(m*n)`

`(2^3p^(8*3)q^(5*3))/(3^3r^(6*3)) = (8p^24q^15)/(27r^18)`