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fiasKO [112]
3 years ago
11

Simplify Rational Expression 8^8/3​

Mathematics
1 answer:
iris [78.8K]3 years ago
7 0

Answer:

\large\boxed{8^\frac{8}{3}=256}

Step-by-step explanation:

a^\frac{m}{n}=\sqrt[n]{a^m}=\left(\sqrt[n]{a}\right)^m\\\\\text{We have}\ 8^{\frac{8}{3}}\\\\\text{Calculate:}\\\\8^\frac{8}{3}=\left(\sqrt[3]{8}\right)^8=2^8=256\\\\\sqrt[3]8=2\ \text{because}\ 2^3=8

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