(x^1/3)^-3

Question

(x^1/3)^-3

 

Answer 1

We can multiply the exponents.

 

x^(1/3)*-3 =

 

x^-1 =

 

1 / x

 

 

Another way is to expand this expression using positive exponents.

 

1 / [(x^1/3)³] =

 

1 / [(x^1/3)(x^1/3)(x^1/3)] =

 

1 / x^(3/3) =

 

1 / x

Answer 2

A power to a power is the product of the powers.

 

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