# Find the Inverse x^3y=-9 Divide each term by and simplify.
Divide each term in by .
Cancel the common factor of .
Cancel the common factor.
Divide by .
Move the negative in front of the fraction.
Interchange the variables.
Solve for .
Rewrite the equation as .
Solve for .
Multiply each term by and simplify.
Multiply each term in by .
Cancel the common factor of .
Move the leading negative in into the numerator.
Cancel the common factor.
Rewrite the expression.
Rewrite the equation as .
Divide each term by and simplify.
Divide each term in by .
Cancel the common factor of .
Cancel the common factor.
Divide by .
Move the negative in front of the fraction.
Take the cube root of both sides of the equation to eliminate the exponent on the left side.
Simplify .
Rewrite as .
Rewrite as .
Rewrite as .
Pull terms out from under the radical.
Raise to the power of .
Rewrite as .
Multiply by .
Combine and simplify the denominator.
Multiply and .
Raise to the power of .
Use the power rule to combine exponents.
Rewrite as .
Use to rewrite as .
Apply the power rule and multiply exponents, .
Combine and .
Cancel the common factor of .
Cancel the common factor.
Divide by .
Simplify.
Rewrite as .
Combine using the product rule for radicals.
Solve for and replace with .
Replace the with to show the final answer.
Set up the composite result function.
Evaluate by substituting in the value of into .
Multiply the numerator by the reciprocal of the denominator.
Rewrite using the commutative property of multiplication.
Apply the product rule to .
Simplify the expression.
Raise to the power of .
Apply the product rule to .
Raise to the power of .
Multiply the exponents in .
Apply the power rule and multiply exponents, .
Multiply by .
Multiply by .
Combine and .
Simplify the expression.
Multiply by .
Rewrite as .
Rewrite as .
Rewrite as .
Pull terms out from under the radical, assuming real numbers.
Cancel the common factor of .
Move the leading negative in into the numerator.
Factor out of .
Cancel the common factor.
Rewrite the expression.
Cancel the common factor of .
Factor out of .
Cancel the common factor.
Rewrite the expression.
Since , is the inverse of .
Find the Inverse x^3y=-9     