Find the Inverse cube root of 27x-81-5

Interchange the variables.
Solve for .
Rewrite the equation as .
Add to both sides of the equation.
To remove the radical on the left side of the equation, cube both sides of the equation.
Simplify each side of the equation.
Multiply the exponents in .
Apply the power rule and multiply exponents, .
Cancel the common factor of .
Cancel the common factor.
Rewrite the expression.
Simplify.
Solve for .
Simplify .
Use the Binomial Theorem.
Simplify each term.
Multiply by .
Raise to the power of .
Multiply by .
Raise to the power of .
Move all terms not containing to the right side of the equation.
Add to both sides of the equation.
Divide each term by and simplify.
Divide each term in by .
Cancel the common factor of .
Cancel the common factor.
Divide by .
Simplify each term.
Cancel the common factor of and .
Factor out of .
Cancel the common factors.
Factor out of .
Cancel the common factor.
Rewrite the expression.
Cancel the common factor of and .
Factor out of .
Cancel the common factors.
Factor out of .
Cancel the common factor.
Rewrite the expression.
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 .
Simplify each term.
Simplify the numerator.
Factor out of .
Factor out of .
Factor out of .
Factor out of .
Rewrite as .
Pull terms out from under the radical.
Simplify the numerator.
Factor out of .
Factor out of .
Factor out of .
Factor out of .
Rewrite as .
Pull terms out from under the radical.
Simplify the numerator.
Factor out of .
Factor out of .
Factor out of .
Factor out of .
Rewrite as .
Pull terms out from under the radical.
To write as a fraction with a common denominator, multiply by .
Write each expression with a common denominator of , by multiplying each by an appropriate factor of .
Multiply and .
Multiply by .
Combine the numerators over the common denominator.
Simplify the numerator.
Factor out of .
Factor out of .
Factor out of .
Factor out of .
Multiply by .
To write as a fraction with a common denominator, multiply by .
Write each expression with a common denominator of , by multiplying each by an appropriate factor of .
Multiply and .
Multiply by .
Combine into one fraction.
Combine the numerators over the common denominator.
Reorder terms.
Combine the numerators over the common denominator.
Simplify the numerator.
Rewrite as .
Expand using the FOIL Method.
Apply the distributive property.
Apply the distributive property.
Apply the distributive property.
Simplify and combine like terms.
Simplify each term.
Multiply .
Multiply by .
Raise to the power of .
Raise to the power of .
Use the power rule to combine exponents.
Rewrite as .
Multiply by .
Multiply by .
Multiply by .
Subtract from .
Expand by multiplying each term in the first expression by each term in the second expression.
Simplify each term.
Multiply .
Multiply by .
Combine using the product rule for radicals.
Multiply by by adding the exponents.
Multiply by .
Raise to the power of .
Use the power rule to combine exponents.
Pull terms out from under the radical, assuming real numbers.
Apply the distributive property.
Multiply by .
Multiply by .
Multiply .
Multiply by .
Raise to the power of .
Raise to the power of .
Use the power rule to combine exponents.
Rewrite as .
Multiply by .
Multiply by .
Multiply by .
Combine the opposite terms in .
Subtract from .
Multiply by .
Apply the distributive property.
Multiply by .
Multiply by .
Subtract from .