Question

Write the expression 23/5 as a radical. A. _______ ∛ 25 B. C. D. _______ ∛ 32

Answer 1

To solve this, we are going to use the formula for fractional exponents:
`a^{ (m)/(n) }= \sqrt[n]{a^m}`

We want to write the expression
`2^{ (3)/(5) }` as a radical. We can infer from our expression that
`a=2`,
`m=3`, and
`n=5`, so lets replace those values in our formula:

`a^{ (m)/(n) }= \sqrt[n]{a^m}`

`2^{ (3)/(5) }= \sqrt[5]{2^3}`

We can conclude that the correct answer is:
`\sqrt[5]{2^3}`