Question

Rewrite the expression with rational exponents as a radical expression.
7x^2/3

Answer 1

For this case we have the following expression:

`7x ^ {\frac {2} {3}}`

By definition of properties of powers and roots we have:

`a ^ {\frac {m} {n}} = \sqrt [n] {a ^ m}`

Then, we can rewrite the expression as:

`7x ^ {\frac {2} {3}} = 7 \sqrt [3] {x ^ 2}`

Answer:

The expression is equivalent to:

`7 \sqrt [3] {x ^ 2}`