Exercise
$\sqrt[4]{\frac{81x^7y^7}{250z^9}}$
Step-by-step Solution
Learn how to solve simplification of algebraic expressions problems step by step online. Simplify the expression ((81x^7y^7)/(250z^9))^(1/4). The power of a quotient is equal to the quotient of the power of the numerator and denominator: \displaystyle\left(\frac{a}{b}\right)^n=\frac{a^n}{b^n}. The power of a product is equal to the product of it's factors raised to the same power. The power of a product is equal to the product of it's factors raised to the same power. .
Simplify the expression ((81x^7y^7)/(250z^9))^(1/4)
Final answer to the exercise
$\frac{3\sqrt[4]{x^{7}}\sqrt[4]{y^{7}}}{\sqrt[4]{250}\sqrt[4]{z^{9}}}$