Question

Which number is equivalent to 32^3/5

Answer 1

when a number is raised to the power of a rational number it becomes a root of the denominator's order and the number inside the root is raised by the power of the numerator

for example

$x^{\frac{a}{b} }=\sqrt[b]{x^a}$

in this case

$32^{\frac{3}{5} }=\sqrt[5]{32^3}$

$=\sqrt[5]{32768}$

=8