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DochEvi [55]
4 years ago
12

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

Mathematics
1 answer:
Ipatiy [6.2K]4 years ago
6 0

Answer:

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

Step-by-step explanation:

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

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Note: Complete question is contained in the image

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