Question

Can someone help me with this question and show the steps please

Answer 1

Answer:
`(w^{(1)/(5) } )^(3)`

Explanation:

The root of a number, say
`\sqrt[n]{x}` is equal to
`x^{(1)/(n) }`. So,
`\sqrt[5]{w^(3) } = (w^(3) )^{(1)/(5) }`. Since when dealing with an exponent of a number raised to an exponent you multiply the exponents, due to the associative property it does not matter which order you do the exponents in. So,
`(w^(3) )^{(1)/(5) }= (w^{(1)/(5) } )^(3)`, which is answer D.