Question

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

Answer 1

Answer:

$3x^{5}y^{24}$

Step-by-step explanation:

$\sqrt[3]{27x^{15}}y^{24} =$

$= \sqrt[3]{3^3x^{15}}y^{24}$

$= (3^3x^{15})^{\frac{1}{3}}y^{24}$

$= (3^3)^{\frac{1}{3}}(x^{15})^{\frac{1}{3}}y^{24}$

$= 3^{3 \times \frac{1}{3}}x^{15 \times \frac{1}{3}}y^{24}$

$= 3^1x^{5}y^{24}$

$= 3x^{5}y^{24}$