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



Answer :

crisforp
( 81 )^ ( 3 / 2 ) = ( 3 ^ 4 )^ ( 3 / 2 ) = 3 ^( 4 * 3 / 2 ) = 3 ^ 6 = 729.
konrad509
[tex]81^{\tfrac{3}{2}}=\\ (3^4)^{\tfrac{3}{2}}=\\ 3^{4\cdot\tfrac{3}{2}}=\\ 3^{2\cdot3}=\\ 3^6=\\ 729[/tex]

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