How do you simplify (z ^ { - 4} \cdot x ^ { \frac { 3} { 5} } ) ^ { \frac { 1} { 3} }?

1 Answer
May 6, 2017

z^(-4/3)*x^(1/5)=root(5)x/(zroot(3)(z))

Explanation:

Since (a^b)^c=a^(bc), you would get:

(z^-4*x^(3/5))^(1/3)=z^(-4/3)*x^(1/5)

and, since a^(m/n)=root(n)(a^m), you could write the equivalent expression:

root(5)x/root(3)(z^4)=root(5)x/(zroot(3)(z))