Question

How do you simplify the expression `27^(-2/3)`?

Answer 1

`27^(-2/3)=1/9`

Explanation:

`27^(-2/3)`

= `(3^3)^(-2/3)` and as `(a^m)^n=a^(mxxn)`

The above is equal to `3^(3xx-2/3)`

= `3^(-2)`

As `a^(-m)=1/a^m`

`3^(-2)=1/3^2=1/9`