Question

Simplify\:\sqrt[3]{27x^{15}}y^{24}

Answer 1

`3x^(5)y^(24)`

Explanation:

`\sqrt[3]{27x^(15)}y^(24) =`

`= \sqrt[3]{3^3x^(15)}y^(24)`

`= (3^3x^(15))^{(1)/(3)}y^(24)`

`= (3^3)^{(1)/(3)}(x^(15))^{(1)/(3)}y^(24)`

`= 3^{3 * (1)/(3)}x^{15 * (1)/(3)}y^(24)`

`= 3^1x^(5)y^(24)`

`= 3x^(5)y^(24)`