Simplify (( cube root of y-2)^2)/(( fifth root of y-2)^2)

Math
Rewrite as .
Rewrite as .
Multiply by .
Combine and simplify the denominator.
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Multiply and .
Raise to the power of .
Use the power rule to combine exponents.
Add and .
Rewrite as .
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Use to rewrite as .
Apply the power rule and multiply exponents, .
Combine and .
Multiply by .
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.
Divide by .
Simplify the numerator.
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Rewrite as .
Multiply the exponents in .
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Apply the power rule and multiply exponents, .
Multiply by .
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 .
Multiply by .
Raise to the power of .
Multiply by .
Raise to the power of .
Multiply by .
Raise to the power of .
Multiply by .
Raise to the power of .
Multiply by .
Raise to the power of .
Make each term match the terms from the binomial theorem formula.
Factor using the binomial theorem.
Factor out .
Pull terms out from under the radical.
Apply the distributive property.
Factor out of .
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Factor out of .
Factor out of .
Factor out of .
Combine exponents.
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Rewrite the expression using the least common index of .
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Use to rewrite as .
Rewrite as .
Rewrite as .
Use to rewrite as .
Rewrite as .
Rewrite as .
Combine using the product rule for radicals.
Factor out of .
Rewrite as .
Factor out of .
Apply the product rule to .
Raise to the power of .
Multiply by .
Reorder terms.
Multiply by by adding the exponents.
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Use the power rule to combine exponents.
Add and .
Factor out .
Pull terms out from under the radical.
Apply the distributive property.
Factor out of .
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Factor out of .
Factor out of .
Factor out of .
Simplify the numerator.
Tap for more steps…
Reorder terms.
Raise to the power of .
Raise to the power of .
Use the power rule to combine exponents.
Add and .
Use to rewrite as .
Use the power rule to combine exponents.
To write as a fraction with a common denominator, multiply by .
Combine and .
Combine the numerators over the common denominator.
Simplify the numerator.
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Multiply by .
Add and .
Simplify with factoring out.
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Factor out of .
Rewrite as .
Factor out of .
Simplify the expression.
Tap for more steps…
Apply the product rule to .
Raise to the power of .
Multiply by .
Factor out of .
Cancel the common factors.
Tap for more steps…
Multiply by .
Cancel the common factor.
Rewrite the expression.
Divide by .
Simplify (( cube root of y-2)^2)/(( fifth root of y-2)^2)

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