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Simplify (8^2/3)^4 on edge

User Sherdim
by
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1 Answer

3 votes

Answer:


\large\boxed{\left(8^(2)/(3)\right)^4=256}

Explanation:


\text{Use}\\\\(a^n)^m=a^(nm)\\\\a^(1)/(n)=\sqrt[n]{a}\\---------------\\\\\left(8^(2)/(3)\right)^4=\left(8^{(1)/(3)\cdot2}\right)^4=\left[\left(8^(1)/(3)\right)^2\right]^4=\left(\sqrt[3]8\right)^(2\cdot4)=2^8=256

User Jaymes
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