what is $sqrt4{7^{3}}$ in exponential form?\n$7^{\frac{3}{4}}$\n$7^{\frac{4}{3}}$\n$7^{-\frac{4}{3}}$

Explanation:

Step1: Recall radical - exponent rule

The rule for converting a radical $\sqrt[n]{a^m}$ to exponential form is $a^{\frac{m}{n}}$.

Step2: Identify values of n and m

In the expression $\sqrt[4]{7^{3}}$, $n = 4$ and $m=3$, and $a = 7$.

Step3: Write in exponential form

Using the rule $a^{\frac{m}{n}}$, we get $7^{\frac{3}{4}}$.

Answer:

$7^{\frac{3}{4}}$