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