Final answer to the problem
Step-by-step Solution
How should I solve this problem?
- Solve by implicit differentiation
- Solve by quadratic formula (general formula)
- Find the derivative using the definition
- Simplify
- Find the integral
- Find the derivative
- Factor
- Factor by completing the square
- Find the roots
- Find break even points
- Load more...
The power of a product is equal to the product of it's factors raised to the same power
Learn how to solve simplification of algebraic expressions problems step by step online.
$\frac{d}{dx}\left(\frac{\left(\sqrt[5]{x}\right)^{10}\left(\sqrt{y^{3}}\right)^{10}}{\left(y^{-\frac{2}{5}}\right)^5\left(\sqrt[3]{x^{2}}\right)^5}\right)$
Learn how to solve simplification of algebraic expressions problems step by step online. Simplify the quotient of powers ((x^(1/5)y^(3/2))^10)/((y^(-2/5)x^(2/3))^5). The power of a product is equal to the product of it's factors raised to the same power. Simplify \left(y^{-\frac{2}{5}}\right)^5 using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals -\frac{2}{5} and n equals 5. Simplify \left(\sqrt[3]{x^{2}}\right)^5 using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals \frac{2}{3} and n equals 5. Simplify \left(\sqrt[5]{x}\right)^{10} using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals \frac{1}{5} and n equals 10.