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Simplify $\left(\left(\frac{\sqrt[4]{9^{\left(n+1\right)}\sqrt{3^{\left(1+n\right)}}}}{3\sqrt{3^{-n}}}\right)^{\frac{1}{n}}\right)^2$ using the power of a power property: $\left(a^m\right)^n=a^{m\cdot n}$. In the expression, $m$ equals $\frac{1}{n}$ and $n$ equals $2$
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$\left(\frac{\sqrt[4]{9^{\left(n+1\right)}\sqrt{3^{\left(1+n\right)}}}}{3\sqrt{3^{-n}}}\right)^{2\left(\frac{1}{n}\right)}$
Learn how to solve powers of powers problems step by step online. Simplify the power of a power (((9^(n+1)3^(1+n)^(1/2))^(1/4))/(33^(-n)^(1/2)))^(1/n)^2. Simplify \left(\left(\frac{\sqrt[4]{9^{\left(n+1\right)}\sqrt{3^{\left(1+n\right)}}}}{3\sqrt{3^{-n}}}\right)^{\frac{1}{n}}\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}{n} and n equals 2. Simplify \sqrt{3^{-n}} using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals -n and n equals \frac{1}{2}. Simplify \sqrt{3^{\left(1+n\right)}} using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals 1+n and n equals \frac{1}{2}.
