Question

simplify the following radical expression.
\sqrt{a^{8}b^{6}}

\sqrt{a^{8}b^{6}} = \square (simplify your answer.)

Explanation:

Step1: Split radical into product

$\sqrt{a^8b^6} = \sqrt{a^8} \cdot \sqrt{b^6}$

Step2: Simplify each radical

$\sqrt{a^8} = a^{\frac{8}{2}} = a^4$, $\sqrt{b^6} = b^{\frac{6}{2}} = b^3$

Step3: Multiply simplified terms

$a^4 \cdot b^3 = a^4b^3$

Answer:

$a^4b^3$