Question

Translate the expression with rational exponents into a radical expression. Simplify if necessary.

Answer 1

Answer and Step-by-step explanation:

Whenever we have a fractional exponent, the numerator is always going to be the exponent, and the denominator will be the root.

Here, the numerator is 4, so we taking 343 to the fourth power. At the same time, since the denominator is 3, we are taking the cube root of 343. Thus, we can write the expression as:

$\sqrt[3]{343^4}$

We want to simplify this. We need to complete both operations, but it doesn't matter what order we do them in. In fact, I would do the cube root first because that won't lead to gigantic numbers:

$(\sqrt[3]{343} )^4=7^4=2401$

Thus, the answer is, I believe, 2401 (although it's not in radical form, the problem asked for the simplified answer, which is this).

Hope this helps!

Answer 2

Look at the attached picture⤴

Hope it will help u..