document.write( "Question 591605: (3x^3y^-2)(-2xy^3)^-1 \n" ); document.write( "
Algebra.Com's Answer #375677 by Theo(13342)\"\" \"About 
You can put this solution on YOUR website!
(3x^3y^-2)(-2xy^3)^-1 is your expression.
\n" ); document.write( "since, in general, x^-a = 1/x^a, this expression can become:
\n" ); document.write( "(3x^3y^-2) / (-2xy^3)
\n" ); document.write( "since, in general, (a*b)/(c*d) is the same as (a/c) * (b/d), this expression can become:
\n" ); document.write( "-(3/2) * (x^3/x) * (y^-2/y^3)
\n" ); document.write( "since, in general, x^a / x^b is equal to x^(a-b), this expression can become:
\n" ); document.write( "-(3/2) * (x^3-1) * (y(-2-3) which can be simplified to:
\n" ); document.write( "-(3/2) * x^2 * y^-5
\n" ); document.write( "since, in general, x^-a = 1/x^a, this expression can become:
\n" ); document.write( "-(3/2) * x^2 * 1/y^5
\n" ); document.write( "since, in general, (a/c) * (b/d) is the same as (a*b) / (c*d), this expression can become:
\n" ); document.write( "(-3*x^2*1) / (2*y^5) which can be simplified to:
\n" ); document.write( "(-3x^2)/(2y^5)
\n" ); document.write( "that's your solution.
\n" ); document.write( "you can confirm the solution is good by picking value for x and for y and using those values in the original equation and the final equation.
\n" ); document.write( "if the solution comes out the same, then you did good.
\n" ); document.write( "you can use your calculator to perform the calculations.
\n" ); document.write( "i did with the values of x = 5 and y = 7.
\n" ); document.write( "i got:
\n" ); document.write( "original equation equals: .0022312132
\n" ); document.write( "final equation equals: .0022312132
\n" ); document.write( "they're the same so the original equation is equivalent to the final equation so we're good.\r
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