Question

Rewrite the radical expression as an expression with rational exponents.

Answer 1

Answer:

x^(7/5)

Step-by-step explanation:

Root goes on bottom of fraction

Power goes on top

x^(7/5)

Answer 2

Answer:

$x^{\frac{7}{5}}$

Step-by-step explanation:

Rewrite the radical expression as an expression with rational exponents.

fifth root of x to the power of 7

$\sqrt[5]{x^7}$

To write the given expression with radical exponent we use the rule

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

Move the index n to the denominator of exponent

$\sqrt[5]{x^7}=x^{\frac{7}{5}}$

Expression with rational exponent is $x^{\frac{7}{5}}$