document.write( "Question 169546: Solve the equation.\r
\n" ); document.write( "\n" ); document.write( "[1/8]^-2p=2^3p+2\r
\n" ); document.write( "\n" ); document.write( "a. p=2/3
\n" ); document.write( "b. p=-2/9
\n" ); document.write( "c. p=-9/2
\n" ); document.write( "d. p=3/2
\n" ); document.write( "

Algebra.Com's Answer #125287 by chiefman(11)\"\" \"About 
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(1/8)^-2p=2^3p+2
\n" ); document.write( "1/8 becomes 2^(-3) since 1/a=a^(-1)
\n" ); document.write( "hence the eqn becomes 2^(-3)*-2p=2^3p+2
\n" ); document.write( "cancelling the bases ie 2 we have
\n" ); document.write( "(-3)*-2p=3p+2
\n" ); document.write( "6p=3p+2
\n" ); document.write( "taking like terms we have
\n" ); document.write( "6p-3p=2
\n" ); document.write( "3p=2
\n" ); document.write( "p=2/3
\n" ); document.write( "
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