document.write( "Question 823256: (-24x^4*y^-6)/(14x^-3*y-3) \n" ); document.write( "

Algebra.Com's Answer #495775 by jsmallt9(3758) $\"\"$ $\"About$

You can put this solution on YOUR website!
First, I assume that the denominator is (14x^-3*y^-3) and not what you posted.

\n" ); document.write( " $\"%28-24x%5E4%2Ay%5E-6%29%2F%2814x%5E-3%2Ay%5E-3%29\"$
\n" ); document.write( "It might help if you rewrite this fraction so that each coefficient or variable is in its own fraction:
\n" ); document.write( " $\"%28%28-24%29%2F14%29%2A%28x%5E4%2Fx%5E-3%29%2A%28%28y%5E-6%29%2F%28y%5E-3%29%29\"$

\n" ); document.write( "With the numbers fraction we just reduce like you've done many times before. With the variables, we use the rule for exponents when dividing: Subtract the exponents:
\n" ); document.write( " $\"%28%28-12%29%2F7%29%2A%28x%5E%284-%28-3%29%29%29%2A%28y%5E%28-6-%28-3%29%29%29\"$
\n" ); document.write( "which simplifies to:
\n" ); document.write( " $\"%28%28-12%29%2F7%29%2A%28x%5E7%29%2A%28y%5E-3%29\"$
\n" ); document.write( "This may be an acceptable form the for the answer. But we could...

Multiply it all back together:
\n" ); document.write( " $\"%28-12x%5E7+%2A+y%5E-3%29%2F7\"$
\n" ); document.write( "Or...
Eliminate the negative exponent...
\n" ); document.write( " $\"%28%28-12%29%2F7%29%2A%28x%5E7%29%2A%281%2Fy%5E3%29\"$
\n" ); document.write( "... and then multiply it all back together:
\n" ); document.write( " $\"%28-12x%5E7%29%2F%287y%5E3%29\"$

\n" ); document.write( "

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