Final answer to the problem
$\frac{y^{10}}{243x^{15}z^{45}}$
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Step-by-step Solution
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Simplifying
$\left(\frac{y^{2}}{3x^{3}z^{9}}\right)^{5}$
Learn how to solve product rule of differentiation problems step by step online.
$\left(\frac{y^{2}}{3x^{3}z^{9}}\right)^{5}$
Learn how to solve product rule of differentiation problems step by step online. Find the derivative using the product rule ((42x^12y^(-6)z^7)/(14x^9y^(-4)z^(-2)))^(-5). Simplifying. 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 \left(y^{2}\right)^{5} using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals 2 and n equals 5. Multiply 2 times 5.
Final answer to the problem
$\frac{y^{10}}{243x^{15}z^{45}}$