Question

simplify the radical expression.
\sqrt4{x^{12}y^{20}}
write your answer in the form a, \sqrt4{b}, or expressions in x and y. use at most one radical in value symbol in your expression for a.

Explanation:

Step1: Rewrite radical as exponents

$\sqrt[4]{x^{12}y^{20}} = (x^{12}y^{20})^{\frac{1}{4}}$

Step2: Apply exponent power rule

$(x^{12})^{\frac{1}{4}} \cdot (y^{20})^{\frac{1}{4}} = x^{\frac{12}{4}} \cdot y^{\frac{20}{4}}$

Step3: Simplify exponents

$x^{3} \cdot y^{5}$

Answer:

$x^3y^5$