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Simplify $\left(\left(\frac{1}{2y^3}\right)^{\frac{1}{2y^3}}\right)^2$ using the power of a power property: $\left(a^m\right)^n=a^{m\cdot n}$. In the expression, $m$ equals $\frac{1}{2y^3}$ and $n$ equals $2$
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$\left(\frac{y^3}{2}\right)^2+2\left(\frac{y^3}{2}\right)\left(\frac{1}{2y^3}\right)^{\frac{2}{2y^3}}$
Learn how to solve simplification of algebraic expressions problems step by step online. Simplify the expression ((y^3)/2)^2+2(y^3)/2(1/(2y^3))^(1/(2y^3))^2. Simplify \left(\left(\frac{1}{2y^3}\right)^{\frac{1}{2y^3}}\right)^2 using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals \frac{1}{2y^3} and n equals 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}. Cancel the fraction's common factor 2. Combine \frac{y^{6}}{4}+2\left(\frac{y^3}{2}\right)\left(\frac{1}{2y^3}\right)^{\frac{1}{y^3}} in a single fraction.