Final Answer
Step-by-step Solution
Specify the solving method
The power of a quotient is equal to the quotient of the power of the numerator and denominator: $\displaystyle\left(\frac{a}{b}\right)^n=\frac{a^n}{b^n}$
Learn how to solve simplification of algebraic expressions problems step by step online.
$\frac{\sqrt[3]{x^5-100x^2}}{\sqrt[3]{101x^4}}$
Learn how to solve simplification of algebraic expressions problems step by step online. Simplify the expression ((x^5-100x^2)/(101x^4))^1/3. 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. Calculate the power \sqrt[3]{101}. Simplify \sqrt[3]{x^4} using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals 4 and n equals \frac{1}{3}.