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

Math
Interchange the variables.
Solve for .
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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.
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Multiply the exponents in .
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Apply the power rule and multiply exponents, .
Cancel the common factor of .
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Cancel the common factor.
Rewrite the expression.
Simplify.
Solve for .
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Simplify .
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Use the Binomial Theorem.
Simplify each term.
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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.
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Add to both sides of the equation.
Add and .
Divide each term by and simplify.
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Divide each term in by .
Cancel the common factor of .
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Cancel the common factor.
Divide by .
Simplify each term.
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Cancel the common factor of and .
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Factor out of .
Cancel the common factors.
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Factor out of .
Cancel the common factor.
Rewrite the expression.
Cancel the common factor of and .
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Factor out of .
Cancel the common factors.
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Factor out of .
Cancel the common factor.
Rewrite the expression.
Solve for and replace with .
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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.
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Simplify the numerator.
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Factor out of .
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Factor out of .
Factor out of .
Factor out of .
Rewrite as .
Pull terms out from under the radical.
Simplify the numerator.
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Factor out of .
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Factor out of .
Factor out of .
Factor out of .
Rewrite as .
Pull terms out from under the radical.
Simplify the numerator.
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Factor out of .
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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 .
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Multiply and .
Multiply by .
Combine the numerators over the common denominator.
Simplify the numerator.
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Factor out of .
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Factor out of .
Factor out of .
Factor out of .
Multiply by .
Add and .
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 .
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Multiply and .
Multiply by .
Combine into one fraction.
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Combine the numerators over the common denominator.
Reorder terms.
Combine the numerators over the common denominator.
Simplify the numerator.
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Rewrite as .
Expand using the FOIL Method.
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Apply the distributive property.
Apply the distributive property.
Apply the distributive property.
Simplify and combine like terms.
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Simplify each term.
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Multiply .
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Multiply by .
Raise to the power of .
Raise to the power of .
Use the power rule to combine exponents.
Add and .
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.
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Multiply .
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Multiply by .
Combine using the product rule for radicals.
Multiply by by adding the exponents.
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Multiply by .
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Raise to the power of .
Use the power rule to combine exponents.
Add and .
Pull terms out from under the radical, assuming real numbers.
Apply the distributive property.
Multiply by .
Multiply by .
Multiply .
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Multiply by .
Raise to the power of .
Raise to the power of .
Use the power rule to combine exponents.
Add and .
Rewrite as .
Multiply by .
Multiply by .
Multiply by .
Combine the opposite terms in .
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Subtract from .
Add and .
Add and .
Add and .
Multiply by .
Apply the distributive property.
Multiply by .
Multiply by .
Subtract from .
Add and .
Add and .
Add and .
Add and .
Cancel the common factor of .
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Cancel the common factor.
Divide by .
Since , is the inverse of .
Find the Inverse cube root of 27x-81-5

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