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The power of a quotient is equal to the quotient of the power of the numerator and denominator: $\displaystyle\left(\frac{a}{b}\right)^n=\frac{a^n}{b^n}$
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$\frac{\left(y^3\right)^2}{2^2}+2\left(\frac{y^3}{2}\right)^2\left(\frac{1}{2y^3}\right)^2+\left(\frac{1}{2y^3}\right)^2$
Learn how to solve problems step by step online. Find the derivative using the product rule ((y^3)/2)^2+2((y^3)/2)^2(1/(2y^3))^2(1/(2y^3))^2. 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}. Calculate the power 2^2. Simplify \left(y^3\right)^2 using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals 3 and n equals 2. Multiply 3 times 2.