document.write( "Question 7252: please reduce the fraction. (-20)(t^5)(u^2)(v^3) / (48)(t^7)(u^4)(v)\r
\n" );
document.write( "\n" );
document.write( " thank you!! \n" );
document.write( "
Algebra.Com's Answer #6714 by smik(40)![]() ![]() ![]() You can put this solution on YOUR website! Good question! \n" ); document.write( " \n" ); document.write( "(-20)(t^5)(u^2)(v^3) / (48)(t^7)(u^4)(v) \n" ); document.write( " \n" ); document.write( "considering its the division of these variables, we subtract the power of the variable in the numerator, by the power of the same variable in the denominator. E.g. So: t^5 / t^7 = t^(-2). Furthermore both -20 and 48 are divisible by 4, giving us -5 and 12 respectively. \n" ); document.write( " \n" ); document.write( "Therefore the above comes down to: \n" ); document.write( " \n" ); document.write( "(-5)(t^-2)(u^-2)(v^2) / (12) \n" ); document.write( " \n" ); document.write( "Now the final step is to shift all the negative exponents in the numerator down to the denominator. E.g. 9^-2 = 1/(9^2). \n" ); document.write( " \n" ); document.write( "So we get (as a final answer): \n" ); document.write( " \n" ); document.write( "(-5)(v^2) / (12)(t^2)(u^2)\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |