Question

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

Answer 1

`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))`