Question

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

A: 4x^3y^6
B: 6x^3y^6
C: 72x^6y^15
D: 213x^6y^15

Answer 1

option B

Explanation:

Cube root of x means
`x^{(1)/(3)`

Formulas used :

`(a^x)^y = a^(xy)`

`(b^3)^{(1)/(3)} = b`

Therefore cube root of :

`(216 x^9 y^(18))^{(1)/(3)} = (6^3 * (x^3)^3 * (y^6)^3)^{(1)/(3)}`

`= (6^3)^{(1)/(3)} * ((x^3)^3)^{(1)/(3)} * ((y^6)^3)^{(1)/(3)}`

`= 6 * x^3 * y^6`

`=6x^3y^6`

Answer 2

`4 {x}^(3) {y}^(6)`

OPTION A