document.write( "Question 27780: How do you multiply and divide fractions with exponents? \n" ); document.write( "

Algebra.Com's Answer #15143 by prabhjyot(165) $\"\"$ $\"About$

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When multiplying algebraic terms you
\n" ); document.write( " (1) multiply numerical coefficients together, then
\n" ); document.write( "(2) list all the variables that occur in the terms being multiplied and
\n" ); document.write( "(3) add the exponents of like variables
\n" ); document.write( "example:
\n" ); document.write( " $\"2x%5E2y%2A6x%5E2y\"$
\n" ); document.write( " $\"2x%5E2y.+6x%5E2y\"$
\n" ); document.write( " $\"%282%2A6%29%28x%5E2y%2Ax%5E2y%29\"$
\n" ); document.write( " $\"12x%5E%282%2B2%29y%5E%281%2B1%29\"$
\n" ); document.write( " $\"12x%5E4y%5E2\"$
\n" ); document.write( "
\n" ); document.write( "Dividing Algebraic Terms
\n" ); document.write( "The process for division of algebraic expressions is much like the multiplication process, with the exception that you divide the numerical coefficients and then subtract exponents instead of adding. The exponent rules for division are:\r
\n" ); document.write( "\n" ); document.write( "1.If there are numerical coefficients in the expressions to be divided, just divide the numerical coefficient and then use the exponent rule to divide the variables.
\n" ); document.write( "2.To divide variables, keep the variables and subtract the exponents
\n" ); document.write( "example:
\n" ); document.write( " $\"20a%5E4b%5E5+%2F+5a%5E7b%5E4+\"$
\n" ); document.write( " $\"20a%5E4b%5E5+%2F+5a%5E7b%5E4+\"$
\n" ); document.write( "4a^–3*b
\n" ); document.write( " \n" ); document.write( "

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