Question

Rewrite the following exponential expressions as equivalent radical expressions. If the number is rational, write it without radicals or exponents.

2^3/2

Answer 1

So
`2^{(3)/(2)}` in radical form ca be written as
`2√(2)`

Explanation:

We have the given number in exponential expression as
`2^{(3)/(2)}`

We have to write this expression in radical form

We know that
`2^{(3)/(2)}` can be written as
`2* 2^{(1)/(2)}` ( property of exponent )

And we know that
`2^{(1)/(2)}` can be written as
`√(2)`

So
`2^{(3)/(2)}` in radical form ca be written as
`2√(2)`