Question

A students work to simplify a radical is shown below. Select the statemmebt which best applies to rhe sample mathematical work

Answer 1

D. The work shown above is correct, and
`y^5\sqrt[4]{y^3}` may not be simplified further.

Explanation:

If you add all the exponents of y in first line then we get

4+4+4+4+4+3=23

Which is same as the exponent in original problem.

So first line is good.

Since it is 4th root so each
`y^4` will turn into y when it moves out of the radical so final answer is correct.

Hence correct choice is "D. The work shown above is correct, and
`y^5\sqrt[4]{y^3}` may not be simplified further." is the correct answer.