Exercise
$\left(8w^7x^{-5}y^3z^{-9}\right)^{-\frac{2}{3}}$
Step-by-step Solution
Learn how to solve problems step by step online. Solve the product power (8w^7x^(-5)y^3z^(-9))^(-2/3). Applying the property of exponents, \displaystyle a^{-n}=\frac{1}{a^n}, where n is a number. The power of a product is equal to the product of it's factors raised to the same power. 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.
Solve the product power (8w^7x^(-5)y^3z^(-9))^(-2/3)
Final answer to the exercise
$\frac{z^{6}\sqrt[3]{x^{10}}}{4y^{2}\sqrt[3]{w^{14}}}$