Final Answer
$\frac{2401\sqrt[3]{x^{14}}}{y^{242}}$
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Step-by-step Solution
Problem to solve:
$\left(7\sqrt[3]{x^{2}}\sqrt{xy^{-121}}\right)^4$
Specify the solving method
1
The power of a product is equal to the product of it's factors raised to the same power
$2401\sqrt[3]{x^{8}}x^{2}y^{-242}$
Learn how to solve power of a product problems step by step online.
$2401\sqrt[3]{x^{8}}x^{2}y^{-242}$
Learn how to solve power of a product problems step by step online. Solve the product power (7x^2/3(xy^(-121))^1/2)^4. The power of a product is equal to the product of it's factors raised to the same power. When multiplying exponents with same base we can add the exponents. Applying the property of exponents, \displaystyle a^{-n}=\frac{1}{a^n}, where n is a number. Multiplying the fraction by \sqrt[3]{x^{14}}.
Final Answer
$\frac{2401\sqrt[3]{x^{14}}}{y^{242}}$