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

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Answer 1 · 2017-05-06T08:13:22

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

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:

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

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