Find the Inverse cube root of 5x-10-8

Math
Interchange the variables.
Solve for .
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Rewrite the equation as .
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.
Subtract from .
Simplify.
Solve for .
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Add to both sides of the equation.
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 .
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 terms.
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Subtract from .
Rewrite as .
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Use to rewrite as .
Apply the power rule and multiply exponents, .
Combine and .
Cancel the common factor of .
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Cancel the common factor.
Divide by .
Simplify.
Combine the numerators over the common denominator.
Simplify the numerator.
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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 5x-10-8


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