Final answer to the problem
$\frac{\sqrt[5]{m^{8}}\sqrt[10]{x^{3}}}{\sqrt[5]{16}\sqrt[5]{n}}$
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Step-by-step Solution
How should I solve this problem?
- Find the derivative using the product rule
- Find the derivative using the definition
- Find the derivative using the quotient rule
- Find the derivative using logarithmic differentiation
- Find the derivative
- Integrate by partial fractions
- Product of Binomials with Common Term
- FOIL Method
- Integrate by substitution
- Integrate by parts
- Load more...
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1
Simplifying
$\frac{m^3n\sqrt{x}}{\sqrt[5]{16m^7n^6x}}$
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$\frac{m^3n\sqrt{x}}{\sqrt[5]{16m^7n^6x}}$
Learn how to solve problems step by step online. Find the derivative using the product rule (m^3nx^(1/2))/((2^4m^7n^6x)^(1/5)). Simplifying. The power of a product is equal to the product of it's factors raised to the same power. Simplify \sqrt[5]{m^7} using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals 7 and n equals \frac{1}{5}. Simplify \sqrt[5]{n^6} using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals 6 and n equals \frac{1}{5}.
Final answer to the problem
$\frac{\sqrt[5]{m^{8}}\sqrt[10]{x^{3}}}{\sqrt[5]{16}\sqrt[5]{n}}$
