document.write( "Question 70838: How do I solve for y in x^3*y^2=t^4/w ? \n" ); document.write( "

Algebra.Com's Answer #50636 by jim_thompson5910(35256) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"%28cross%28x%5E3%29%2Ay%5E2%29%2Fcross%28x%5E3%29=%28t%5E4%2Fw%29%2Fx%5E3\"$ Divide both sides by $\"x%5E3\"$
\n" ); document.write( " $\"y%5E2=%28t%5E4%2Fw%29%2A%281%2Fx%5E3%29\"$ When dividing fractions invert the divisor (the bottom most term, in this case $\"x%5E3\"$ goes to $\"1%2Fx%5E3\"$ )
\n" ); document.write( " $\"y%5E2=t%5E4%2F%28w%2Ax%5E3%29\"$ Multiply fractions
\n" ); document.write( " $\"sqrt%28y%5E2%29=sqrt%28t%5E4%2F%28w%2Ax%5E3%29%29\"$
\n" ); document.write( " $\"y=0%2B-sqrt%28t%5E4%2F%28w%2Ax%5E3%29%29\"$ You can further simplify, but it is finally in y form (ignore the 0 in front) \n" ); document.write( "

\n" );