document.write( "Question 74361This question is from textbook Addison-Wesley Algebra
\n" ); document.write( ": 4x2y/2xy3=
\n" ); document.write( "The 2 after the x is squared. The 3 after the y is cubed. I tried listening in class but it's not clicking. I need some big help! Thankyou. \n" ); document.write( "

Algebra.Com's Answer #53359 by jim_thompson5910(35256) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"4x%5E2y%2F2xy%5E3\"$
\n" ); document.write( " $\"4x%5E2y%5E1%2F2x%5E1y%5E3\"$ When dividing like bases with exponents we subtract the exponents. If I have $\"x%5E2%2Fx\"$ it translates to $\"x%2Across%28x%29%2Fcross%28x%29=x\"$ or $\"x%5E2%2Fx=x%5E2%2Fx%5E1=x%5E%282-1%29=x%5E1=x\"$ . So we're going to apply the same idea for this problem.
\n" ); document.write( " $\"4x%5E%282-1%29y%5E%281-3%29%2F2\"$
\n" ); document.write( " $\"4x%5E1y%5E%28-2%29%2F2\"$ Simplify 4/2 to 2
\n" ); document.write( " $\"2x%5E1y%5E%28-2%29\"$ When we have negative exponents, we invert the base (ie $\"x%5E%28-2%29=1%2Fx%5E2\"$ because if we have

. So $\"x%5E%28-a%29=1%2Fx%5Ea\"$
\n" ); document.write( " $\"%282x%5E1%29%2F%28y%5E%282%29%29\"$
\n" ); document.write( " $\"2x%2Fy%5E2\"$ Here's the simplified form. \n" ); document.write( "

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