Question

What is the simplest form of this expression (X^-3) 1/3

Answer 1

1/x

Explanation:

`(x^(-3))^(1)/(3)`

To simplify this we need to apply property of exponents

(a^m ) ^n = a^mn

Multiply inside exponent with outside exponent

`(x^(-3))^(1)/(3)`

`x^(-3)*^(1)/(3)`

-3 times 1/3 becomes -1

`x^(-1)`

a^-m = 1/a^m

So
`x^(-1)= (1)/(x^1) = (1)/(x)`