How do you simplify (z ^ { \frac { 1} { 3} } \cdot x ^ { - 2} ) ^ { \frac { 5} { 3} }?

1 Answer
Nov 27, 2017

=z^(5/9)x^(-10/3) or =(z^(5/9))/(x^(10/3))

Explanation:

Follow the power exponent rules : (b^n)^m = b^(n⋅m)

(z^(1/3)*x^(-2))^(5/3)

= z^((1/3)(5/3))*x^((-2)(5/3))

= z^(5/9)*x^(-10/3)

=z^(5/9)x^(-10/3) or =(z^(5/9))/(x^(10/3))