Question

Rewrite the radical expression as an expression with rational exponents four square root X to the fifth

Answer 1

For this case we must write algebraically the following expression:

"four square root x to the fifth"

We have to:

square root x is represented as: $\sqrt {x}$

Then, the expression will be:

$4 \sqrt {x ^ 5}$

Equivalently, according to the property of powers and roots:

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

We have:

$4x ^ {\frac {5} {2}}$

ANswer:

$4 \sqrt {x ^ 5}\\4x ^ {\frac {5} {2}}$

Answer 2

Answer:

$x^{\frac{5}{4}}$

Step-by-step explanation:

We are asked to rewrite the radical expression as an expression with rational exponents.

$\sqrt[4]{x^5}$

Using exponent property $\sqrt[n]{a^m}=a^{\frac{m}{n}}$, we can rewrite our given expression as:

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

Therefore, our required expression would be $x^{\frac{5}{4}}$.