# Simplify (y^(1/7*(y^(20/7)-y^(27/7))))/(y^(1/2*(y^(1/2)-y^(-1/2)))) Factor out of .
Cancel the common factors.
Multiply by .
Cancel the common factor.
Rewrite the expression.
Divide by .
Simplify each term.
Apply the distributive property.
Combine and .
Combine and .
Combine the numerators over the common denominator.
Simplify the numerator.
Factor out of .
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Simplify.
Rewrite the expression using the negative exponent rule .
To write as a fraction with a common denominator, multiply by .
Combine the numerators over the common denominator.
Simplify the numerator.
Multiply by by adding the exponents.
Use the power rule to combine exponents.
Combine the numerators over the common denominator.
Divide by .
Simplify .
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Move to the left of .
To write as a fraction with a common denominator, 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 .
Multiply and .
Multiply by .
Combine the numerators over the common denominator.
Simplify the numerator.
Rewrite using the commutative property of multiplication.
Multiply by by adding the exponents.
Move .
Use the power rule to combine exponents.
To write as a fraction with a common denominator, 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 .
Multiply and .
Multiply by .
Combine the numerators over the common denominator.
Simplify the numerator.
Multiply by .
Apply the distributive property.
Multiply by .
Rewrite using the commutative property of multiplication.
Multiply by by adding the exponents.
Move .
Multiply by .
Raise to the power of .
Use the power rule to combine exponents.
Write as a fraction with a common denominator.
Combine the numerators over the common denominator.
Apply the distributive property.
Multiply by .
Apply the distributive property.
Multiply by .
Apply the distributive property.
Multiply by .
Multiply by .
Reorder terms.
Rewrite in a factored form.
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Factor out of .
Factor out of .
Factor out of .
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Factor out of .
Factor out of .
Factor out of .
Factor out of .
Factor out of .
Reorder terms.
Move the negative in front of the fraction.
Simplify (y^(1/7*(y^(20/7)-y^(27/7))))/(y^(1/2*(y^(1/2)-y^(-1/2))))

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