Question

Rewrite the radical as a rational exponent. the fourth root of 7 to the fifth power

Answer 1

7^5/4 would be the answer to the question I think you are asking

Answer 2

Answer:

$\sqrt[4]{7^5}=7^{\frac{5}{4}}$

Step-by-step explanation:

Given: "the fourth root of 7 to the fifth power"

First we write as radical form and then convert into rational fraction as per rule of exponent.

$\text{the fourth root of 7 to the fifth power}=\sqrt[4]{7^5}$

$\sqrt[n]{x^m}$

• m, Power goes at numerator of rational exponent.

• n , nth root goes at denominator of rational exponent.

So, $\sqrt[n]{x^m}=x^{\frac{m}{n}}$

In the given radical, $\sqrt[4]{7^5}$

m=5 and n=4

now, we write radical as a rational exponent.

$\sqrt[4]{7^5}=7^{\frac{5}{4}}$