document.write( "Question 177651: Please help me with this:
\n" ); document.write( "[(6x^5y^3z)*3x^2]/(2xy^2z^5) \n" ); document.write( "
Algebra.Com's Answer #132731 by gonzo(654)\"\" \"About 
You can put this solution on YOUR website!
your equation is:
\n" ); document.write( "\"%28%286%2Ax%5E5%2Ay%5E3%2Az%29%2A3%2Ax%5E2%29%2F%282%2Ax%2Ay%5E2%2Az%5E5%29\"
\n" ); document.write( "if you remove the parentheses from the numerator, this becomes:
\n" ); document.write( "\"%286%2Ax%5E5%2Ay%5E3%2Az%2A3%2Ax%5E2%29%2F%282%2Ax%2Ay%5E2%2Az%5E5%29\"
\n" ); document.write( "since a*b is the same as b*a, you can move the variables around until you get similar variables together which makes your equation the same as:
\n" ); document.write( "\"%286%2A3%2Ax%5E5%2Ax%5E2%2Ay%5E3%2Az%29%2F%282%2Ax%2Ay%5E2%2Az%5E5%29\"
\n" ); document.write( "since \"x%5E5+%2A+x%5E2+=+x%5E%285%2B2%29+=+x%5E7\", your equation becomes:
\n" ); document.write( "\"%286%2A3%2Ax%5E7%2Ay%5E3%2Az%29%2F%282%2Ax%2Ay%5E2%2Az%5E5%29\"
\n" ); document.write( "since \"x%5E7+%2F+x+=+x%5E7+%2F+x%5E1+=+x%5E%287-1%29+=+x%5E6\", your equation becomes:
\n" ); document.write( "\"%286%2A3%2Ax%5E6%2Ay%5E3%2Az%29%2F%282%2Ay%5E2%2Az%5E5%29\"
\n" ); document.write( "since \"y%5E3+%2F+y%5E2+=+y%5E%283-2%29+=+y%5E1+=+y\", your equation becomes:
\n" ); document.write( "\"%286%2A3%2Ax%5E6%2Ay%2Az%29%2F%282%2Az%5E5%29\"
\n" ); document.write( "since \"z+%2F+z%5E5+=+z%5E1+%2F+z%5E5+=+z%5E%281-5%29+=+z%5E%28-4%29+=+1%2Fz%5E4\", your equation becomes:
\n" ); document.write( "\"%286%2A3%2Ax%5E6%2Ay%29%2F%282%2Az%5E4%29\"
\n" ); document.write( "since \"%286%2A3%29%2F2+=+3%2A3+=+9\", your equation becomes:
\n" ); document.write( "\"%289%2Ax%5E6%2Ay%29%2F%28z%5E4%29\"
\n" ); document.write( "since you can't simplify any further, this will be your final equation.
\n" ); document.write( "---
\n" ); document.write( "to prove your answer is correct, substitute values for x, y, and z in your original equation and in your final equation to see that the answer comes out the same.
\n" ); document.write( "---
\n" ); document.write( "let:
\n" ); document.write( "x = 2
\n" ); document.write( "y = 3
\n" ); document.write( "z = 4
\n" ); document.write( "---
\n" ); document.write( "your final equation is:
\n" ); document.write( "\"%289%2Ax%5E6%2Ay%29%2F%28z%5E4%29\"
\n" ); document.write( "substituting, we get:
\n" ); document.write( "\"%289%2A2%5E6%2A3%29%2F%284%5E4%29\"
\n" ); document.write( "which becomes:
\n" ); document.write( "\"%289%2A64%2A3%29%2F%28256%29\"
\n" ); document.write( "which becomes:
\n" ); document.write( "\"%281728%29%2F%28256%29\"
\n" ); document.write( "which becomes:
\n" ); document.write( "6.75
\n" ); document.write( "---
\n" ); document.write( "your original equation is:
\n" ); document.write( "\"%286%2Ax%5E5%2Ay%5E3%2Az%2A3%2Ax%5E2%29%2F%282%2Ax%2Ay%5E2%2Az%5E5%29\" after removing the parentheses.
\n" ); document.write( "substituting, we get:
\n" ); document.write( "\"%286%2A2%5E5%2A3%5E3%2A4%2A3%2A2%5E2%29%2F%282%2A2%2A3%5E2%2A4%5E5%29\"
\n" ); document.write( "which becomes:
\n" ); document.write( "\"%286%2A32%2A27%2A4%2A3%2A4%29%2F%282%2A2%2A9%2A1024%29\"
\n" ); document.write( "which becomes:
\n" ); document.write( "\"%28248832%29%2F%2836864%29\"
\n" ); document.write( "which becomes:
\n" ); document.write( "6.75
\n" ); document.write( "---
\n" ); document.write( "since the original equation = 6.75 and the final equation = 6.75, then the original equation equals the final equation and we are good.
\n" ); document.write( "---
\n" ); document.write( "your answer is:
\n" ); document.write( "\"%28%286%2Ax%5E5%2Ay%5E3%2Az%29%2A3%2Ax%5E2%29%2F%282%2Ax%2Ay%5E2%2Az%5E5%29\" = \"%289%2Ax%5E6%2Ay%29%2F%28z%5E4%29\"
\n" ); document.write( " \n" ); document.write( "
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