document.write( "Question 29080: (3p)^4(3p)^-7 I'm supposed to simplify and can't seem to figure this out. I distributed the exponent 4 on the first term and got 3^4 p^4, don't know what to do from here. thank you! \n" ); document.write( "
Algebra.Com's Answer #15908 by sdmmadam@yahoo.com(530)\"\" \"About 
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(3p)^4(3p)^-7 I'm supposed to simplify and can't seem to figure this out. I distributed the exponent 4 on the first term and got 3^4 p^4, don't know what to do from here. thank you!\r
\n" ); document.write( "\n" ); document.write( "(3p)^4(3p)^-7
\n" ); document.write( "= [(3)^4 X (p)^4] X [(3)^(-7) X (p)^(-7)]
\n" ); document.write( "[Using (ab)^m = (a^m)X(b^m) ]
\n" ); document.write( "=(3)^(4-7)X (p)(4-7)
\n" ); document.write( "[Using (a)^m X (a)^n = (a)^(m+n) and here in the problem n is negativae]
\n" ); document.write( "=(3)^(-3)X (p)^(-3)
\n" ); document.write( "=(3p)^-3
\n" ); document.write( "=1/[(3p)^(+3)] (using {(a)^(-m) = 1/[(a)^(+m)]} )
\n" ); document.write( "=1/[3^3p^3]
\n" ); document.write( "=1/(27p^3) \r
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