Question

What is the cube root of 216x^9y^18?

Answer 1

Answer:

The cube root of given expression is $6x^3y^6$.

Step-by-step explanation:

The given expression is

$\sqrt[3]{216x^9y^{18}}$

It can be written as

Use the exponent property: $a^{mn}=(a^m)^n$

$\sqrt[3]{216x^9y^{18}}=\sqrt[3]{6^3(x^3)^3(y^6)^{3}}$

$\sqrt[3]{216x^9y^{18}}=\sqrt[3]{(6x^3y^6)^{3}}$

$\sqrt[3]{216x^9y^{18}}=6x^3y^6$

Therefore the cube root of given expression is $6x^3y^6$.