document.write( "Question 1209915: If 5x+3y = 3, then what is 1024^x*64^y? \n" ); document.write( "
Algebra.Com's Answer #851049 by math_tutor2020(3817)\"\" \"About 
You can put this solution on YOUR website!

\n" ); document.write( "I'll highlight 5x+3y = 3 in blue to indicate it's useful for a substitution step later on.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "1024^x*64^y
\n" ); document.write( "= (2^10)^x*(2^6)^y
\n" ); document.write( "= 2^(10x)*2^(6y)
\n" ); document.write( "= 2^(10x+6y)
\n" ); document.write( "= 2^(2(5x+3y))
\n" ); document.write( "= 2^(2(3)) ...... substitution
\n" ); document.write( "= 2^(6)
\n" ); document.write( "= 64\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Therefore,
\n" ); document.write( "1024^x*64^y = 64 when 5x+3y = 3
\n" ); document.write( " \n" ); document.write( "
\n" );