Question

How do you simplify `(8x^6 y^3)^(1/3)`?

Answer 1

`color(brown)(=> 2 x^2 y`

Explanation:

`(8x^6 y^3)^(1/3)`

`(2^3 x^6 y^3)^(1/3)`

`=> 2^(3/3)x^(6/3) y^(3/3)`

`color(brown)(=> 2 x^2 y`

Answer 2

`2x^2y`

Explanation:

`"using the "color(blue)"law of exponents"`

`•color(white)(x)(a^m)^n=a^((mxxn))`

`"this can be extended to each factor inside the parenthesis"`

`(8x^6y^3)^(1/3)`

`=8^((1xx1/3))x^((6xx1/3))y^((3xx1/3))`

`=8^(1/3)x^2y^1=2x^2y`