Question

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

Answer 1

B- 6x3y6

Explanation:

The guy above me.

Answer 2

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

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`.