Question

What is `(x^-6y^9)^(1/3)`?

Answer 1

`y^3/x^2`

Explanation:

I am assuming you mean in simplified form with positive indices.

Using the following`color(blue)" rules of exponents "`

`• (a^m)^n=a^(mn)" and " a^-m hArr 1/a^m`

example: `(2^3)^2=2^(3xx2)=2^6=64`

and `2^-3=1/2^3=1/8`

`rArr(x^-6y^9)^(1/3)=x^(-6xx1/3)y^(9xx1/3)=x^-2y^3=y^3/x^2`