It says to do 81^3/4 and i don’t know how to simplify that

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11-02-2020
Mathematics

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It says to do 81^3/4 and i don’t know how to simplify that

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jdoe0001 jdoe0001 · Answer 1 · 2020-02-11T00:03:06+01:00

jdoe0001 jdoe0001

11-02-2020

[tex]\bf 81^{\frac{3}{4}}~~ \begin{cases} 81=&3\cdot 3\cdot 3\cdot 3\\ &3^4 \end{cases}\qquad \implies (3^4)^{\frac{3}{4}}\implies 3^{4\cdot \frac{3}{4}}\implies 3^1\implies 3[/tex]

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