document.write( "Question 781020: I need help doing 81^-3/4 without a calculator, the part stumping me is how to do
\n" ); document.write( " $\"4sqrt%2881%5E3%29\"$ is it possible for a step by step explanation on how to solve \n" ); document.write( "

Algebra.Com's Answer #475757 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
The order of the operations makes a big difference
\n" ); document.write( " $\"+81%5E%28-3%2F4%29+\"$
\n" ); document.write( "Think of this as:
\n" ); document.write( " $\"+1%2F%28+root%28+4%2C81+%29%29%5E3+\"$
\n" ); document.write( "Note that $\"+81+=+3%2A3%2A3%2A3+\"$ , so
\n" ); document.write( " $\"+81+=+3%5E4+\"$ and
\n" ); document.write( " $\"+root%28+4%2C3%5E4+%29+=+3+\"$ , so
\n" ); document.write( " $\"+1%2F3%5E3+=+1%2F27+\"$
\n" ); document.write( "----------------------
\n" ); document.write( "check:
\n" ); document.write( " $\"+81%5E%28-3%2F4%29++=+1%2F27+\"$
\n" ); document.write( " $\"+81%5E%28-3%2F4%29++=+1%2F3%5E3+\"$
\n" ); document.write( " $\"+%283%5E4%29%5E%28-3%2F4%29+=+3%5E%28-3%29+\"$
\n" ); document.write( " $\"+3%5E%28-3%29+=+3%5E%28-3%29+\"$
\n" ); document.write( "OK
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