document.write( "Question 257283: Use the law of exponents to simplify.\r
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document.write( "6^3/4 multiply 6^1/8\r
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document.write( "would it be 6^3/32?
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document.write( "Any help would be appreciated. \n" );
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Algebra.Com's Answer #189207 by richwmiller(17219)![]() ![]() You can put this solution on YOUR website! No \n" ); document.write( "let's take a simple example \n" ); document.write( "2^6=64 \n" ); document.write( "2^5=32 \n" ); document.write( "2^4=16\r \n" ); document.write( "\n" ); document.write( "2^3=8\r \n" ); document.write( "\n" ); document.write( "2^2=4\r \n" ); document.write( "\n" ); document.write( "8*4=32\r \n" ); document.write( "\n" ); document.write( "2^3*2^2=32 \n" ); document.write( "which is 2^5 \n" ); document.write( " so we add exponents when we multiply numbers with the same base\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "(6^(3/4))*( 6^(1/8)=6^(3/4+1/8)=6^(6/8+1/8)=6^(7/8)\r \n" ); document.write( "\n" ); document.write( "(6^(3/4))^1/8=6^(3/32) where we are raising the power to a power \n" ); document.write( " |