Question

How do you simplify `(3^(1/2))^2`?

Answer 1

It would be just 3 (or `3^1`).

Explanation:

The exponent power rule states the `(a^n) ^m = a^ (nm)`
Applying this rule to `(3^(1/2))^2` will get us `3^(1/2 * 2)` which is `3^1` or just 1.
To verify this answer, we can actually evaluate the exponent. `3^(1/2)` is equal to the square root of three. The square of the square root of 3 is just 3.

Answer 2

`3^1=3`

Explanation:

Rules of exponents says
`(a^m)^n=a^(mn)`

Where
`a=3`
`m=1/2`
`n=2`

So
`(3^(1/2))^2=3^((1/2)*2)`

`(3^(1/2))^2=3^1`

`3^1=3`

Answer 3

`3`

Explanation:

`3^((1/2)2)`

`3^(2/2) ->"multiplying the exponents"`

`3^1`

`3`