document.write( "Question 211209: if p/q= {(2/3)to the power 3 + (3/2) to the power -3 },
\n" ); document.write( "what is the value of (p/q) to the power -10? \n" ); document.write( "

Algebra.Com's Answer #159599 by Alan3354(69443) $\"\"$ $\"About$

You can put this solution on YOUR website!
if p/q= {(2/3)to the power 3 + (3/2) to the power -3 },
\n" ); document.write( "what is the value of (p/q) to the power -10?
\n" ); document.write( "-------------
\n" ); document.write( " $\"p%2Fq+=+%282%2F3%29%5E3+%2B+%283%2F2%29%5E-3\"$
\n" ); document.write( " $\"p%2Fq+=+%282%2F3%29%5E3+%2B+%282%2F3%29%5E3\"$
\n" ); document.write( " $\"p%2Fq+=+2%288%2F27%29\"$
\n" ); document.write( "p/q = 16/27
\n" ); document.write( "---------
\n" ); document.write( " $\"%28p%2Fq%29%5E-10+=+%28q%2Fp%29%5E10\"$
\n" ); document.write( "= (27/16)^10
\n" ); document.write( "-------------
\n" ); document.write( "= 3^30/2^40
\n" ); document.write( "= 205891132094649/1099511627776
\n" ); document.write( "= ~187.25689 \n" ); document.write( "

\n" );