Question

Rewrite the radical expression as an expression with rational exponents. fourth root of x to the power of 5
A.4X^5
B.5X^4
C.X^5/4
D.X^4/5

Answer 1

Answer:

C

Step-by-step explanation:

We simply need to remember this rule shown below:

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

So expression to change is  $\sqrt[4]{x^5}$

By using the law, we can rewrite this as:

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

Correct choice is C

Answer 2

Answer:

The correct option is C) X^(5/4).

Step-by-step explanation:

Consider the provided radical expression.

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

Now we need to convert the radical expression into rational expression.

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

By using the above formula we can rewrite the expression as shown:

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

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

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

Hence, the required rational exponent is $(x)^{\frac{5}{4}}$

Thus, the correct option is C) X^(5/4).