Question

Rewrite the radical expression as an expression with a rational exponent. pls help

Answer 1

Answer:

$\sqrt[7]{x^{3} }= x^{\frac{3}{7} }$

Step-by-step explanation:

In order to solve this question we need to understand the following.

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

$\sqrt[3]{x} = x^{\frac{1}{3} }$

$\sqrt[4]{x}= x^{\frac{1}{4} }$

(Notice that the numerator of the fraction is the power of the x that is being squared)

If you need proof here it is.....

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

$(\sqrt{x} )^{2}$ = $(x^{\frac{1}{2} } )^{2}$

x = x

Now that we got that out of the way we can rewrite $\sqrt[7]{x^{3} }$ as........

$\sqrt[7]{x^{3} }= x^{\frac{3}{7} }$

Answer 2

Answer:

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