How do I do a question containing powers that are improper fractions? say for example 81 to the power of 3/2. thx

asked May 19, 2016 73.0k views

5 votes

How do I do a question containing powers that are improper fractions?

say for example 81 to the power of 3/2. thx

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2 votes

$81^{\tfrac{3}{2}}=\\ (3^4)^{\tfrac{3}{2}}=\\ 3^{4\cdot\tfrac{3}{2}}=\\ 3^(2\cdot3)=\\ 3^6=\\ 729$

Dinky answered May 21, 2016

by Dinky

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4 votes

( 81 )^ ( 3 / 2 ) = ( 3 ^ 4 )^ ( 3 / 2 ) = 3 ^( 4 * 3 / 2 ) = 3 ^ 6 = 729.

Shlomi Agiv answered May 24, 2016

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