Question

This is a question about rational exponents, but I'm not confident in my answer. Is it correct?

Answer 1

Yes, your answer is correct.

The answer to the question is 2.

The image you sent shows a question about rational exponents, and your answer is correct.

Rational exponents are exponents that are fractions. For example,
`2^1/2` is a rational exponent. It means that we take the square root of 2.

To simplify rational exponents, we can use the following rule:

`a(m/n) = (a(1/n))^m`

This rule means that we can simplify a rational exponent by taking the nth root of the base, and then raising the result to the mth power.

In the question you sent, the rational exponent is 1/2. So, we can simplify it by taking the square root of 2, and then raising the result to the power of 2.

`2(1/2) = sqrt(2)`

`(sqrt(2))^2 = 2`