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# Writing this expression as a single power of 4?

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$${(\sqrt{2})^{8}(\sqrt[4]{4})^{4}}$$

Apr 7, 2019

#1
+101709
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$${(\sqrt{2})^{8}(\sqrt[4]{4})^{4}}\\ =2^4*4^1\\ =4^2*4^1\\ =4^3\\$$

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Apr 7, 2019