Question

Sorry for the bad quality!!! Please help me out

Answer 1

Answer:

(C) $5^{\frac{3}{8} }$

Step-by-step explanation:

With a calculator, this would be pretty straightforward, but if not, there is an easy way to go about it:

1. Convert your fourth root to an exponent and use the exponent rule: $(5^{3})^{\frac{1}{4}*\frac{1}{2} }$
2. Simplify with the exponent rule: ($\frac{1}{4}$ * $\frac{1}{2}$) = $\frac{1}{8}$ = ($5^{3}$)$^{\frac{1}{8} }$
3. Apply the exponent rule once more: 3 * $\frac{1}{8}$ = $\frac{3}{8}$

And now, the answer is in the simplest of forms. If you have a calculator, this can easily be inserted to find the decimal value of it.

Answer 2

$( \sqrt[4]{ {5}^{3} } ) = {5}^{ \frac{3}{4} }$
Power over root

$( {5}^{ \frac{3}{4} } ) ^{ \frac{1}{2} }$
Multiple the exponents and that's your answer!