Question

What values complete each statement? enter your answers in the boxes. (7√)2 = in simplest form. By the power of a power rule, (712)2=722. So, 712 must equal in radical form.

Answer 1

By the power rule, the radical expression become $(7^{\frac{1}{2} })^2 = 7^{\frac{2}{2} }$. Hence expressing $7^{\frac{1}{2} }$ as a radical is $\sqrt{7}$

Power rule in indices

Given the expression;

$(\sqrt{7} )^2$

This is expressed as;

$(\sqrt{7})^2 = (7^{\frac{1}{2} })^2\\(\sqrt{7})^2 = 7^{\frac{1}{2} \times 2}\\(\sqrt{7})^2=7^1\\(\sqrt{7})^2 =7$

By the power rule, the radical expression become $(7^{\frac{1}{2} })^2 = 7^{\frac{2}{2} }$. Hence expressing $7^{\frac{1}{2} }$ as a radical is $\sqrt{7}$

Learn more on radical function here: https://brainly.com/question/13430746