document.write( "Question 1098147: 2^-3p*2^2p=2^3p \n" ); document.write( "

Algebra.Com's Answer #712561 by greenestamps(13200) $\"\"$ $\"About$

You can put this solution on YOUR website!

On the left, you are multiplying two exponential expressions with the same base, so add the exponents:
\n" ); document.write( " $\"2%5E%28-3p%29%2A2%5E%282p%29+=+2%5E%28-3p%2B2p%29+=+2%5E%28-p%29\"$

\n" ); document.write( "Then the equation is
\n" ); document.write( " $\"2%5E%28-p%29+=+2%5E%283p%29\"$

\n" ); document.write( "Now if two exponential expressions with the same base are equal, then the two exponents are equal. So
\n" ); document.write( " $\"-p+=+3p\"$
\n" ); document.write( " $\"0+=+4p\"$
\n" ); document.write( " $\"p+=+0\"$ \n" ); document.write( "

\n" );