Question

I need to simplify a square root with an exponent example square root of 100 to the 6th power

Answer 1

Simplify the square root of 100 to the 6th power

$\begin{gathered} (\sqrt[]{100})^6 \\ =10^6 \\ =1,000,000 \end{gathered}$

The answer is 1,000,000

The square root of a number can also be expressed as that number to the power of 1/2. That is square root of 100, is equivalent to 100 raised to the power of 1/2. Therefore;

$\begin{gathered} (\sqrt[]{100})^6 \\ =(100^{\frac{1}{2}})^6 \end{gathered}$