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:

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