Westonci.ca offers fast, accurate answers to your questions. Join our community and get the insights you need now. Our platform provides a seamless experience for finding reliable answers from a knowledgeable network of professionals. Discover detailed answers to your questions from a wide network of experts on our comprehensive Q&A platform.

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


Sagot :

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