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^{(a)/(b) }=\sqrt[b]{x^a}`

in this case

`32^{(3)/(5) }=\sqrt[5]{32^3}`

`=\sqrt[5]{32768}`

=8