Final answer to the problem
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 product rule of differentiation problems step by step online.
$\frac{\sqrt[4]{a^8}}{\sqrt[4]{81b^4c^{12}}}$
Learn how to solve product rule of differentiation problems step by step online. Find the derivative using the product rule ((a^8)/(81b^4c^12))^1/4. 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}. Simplify \sqrt[4]{a^8} using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals 8 and n equals \frac{1}{4}. Multiply 8 times \frac{1}{4}. Multiply 8 times \frac{1}{4}.