document.write( "Question 591605: (3x^3y^-2)(-2xy^3)^-1 \n" ); document.write( "
Algebra.Com's Answer #375677 by Theo(13342)![]() ![]() 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 \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |