Question

PLEASE HELP ASAP!! Rewrite the expression with a rational exponent as a radical expression.

Answer 1

Answer:

D)-  3√5^4

Your answer is D^

Answer 2

Answer:

$5^{\frac{1}{2} } =\sqrt{5}$

Step-by-step explanation:

Here we need to use the following property

$x^{\frac{a}{b} }=\sqrt[b]{x^{a} }$

So, we use this property to rewrite the given expression

$(5^{\frac{3}{4} } )^{\frac{2}{3} }$

First, we multiply exponents to have only one

$(5^{\frac{3}{4} } )^{\frac{2}{3} }=(5)^{\frac{3 \times 2}{4 \times 3} }=(5)^{\frac{6}{12} }=5^{\frac{1}{2} }$

Then, we apply the property to rewrite the expression

$5^{\frac{1}{2} } =\sqrt{5}$

Therefore, the right answer is the third choice.