Question

How do you simplify and write `(-216)^( 2/3)` with positive exponents?

Answer 1

`(-216)^(2/3)=(-6)^2=36`

Explanation:

`-216=(-6)^3`

`(-216)^(2/3)`
`color(white)("XXX")=((-216)^(1/3))^2`

`color(white)("XXX")=(((-6)^3)^(1/3)))^2`

`color(white)("XXX")=(-6)^2`

`color(white)("XXX")=36`