Question

simplify the following radical expression.
$sqrt{a^{16}b^{14}}$
$sqrt{a^{16}b^{14}} = \square$ (simplify your answer.)

Explanation:

Step1: Rewrite root as exponent

$\sqrt{a^{16}b^{14}}=(a^{16}b^{14})^{\frac{1}{2}}$

Step2: Apply exponent power rule

$(a^{16})^{\frac{1}{2}} \cdot (b^{14})^{\frac{1}{2}}$

Step3: Calculate each term's exponent

$a^{16 \times \frac{1}{2}} \cdot b^{14 \times \frac{1}{2}} = a^8 \cdot b^7$

Answer:

$a^8b^7$