Simplify (y^(1/7*(y^(20/7)-y^(27/7))))/(y^(1/2*(y^(1/2)-y^(-1/2))))

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Factor out of .
Cancel the common factors.
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Multiply by .
Cancel the common factor.
Rewrite the expression.
Divide by .
Simplify each term.
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Apply the distributive property.
Combine and .
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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 .
Divide by .
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.
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Multiply by by adding the exponents.
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Use the power rule to combine exponents.
Combine the numerators over the common denominator.
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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 .
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Multiply and .
Multiply by .
Multiply and .
Multiply by .
Combine the numerators over the common denominator.
Simplify the numerator.
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Rewrite using the commutative property of multiplication.
Multiply by by adding the exponents.
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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 .
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Multiply and .
Multiply by .
Multiply and .
Multiply by .
Combine the numerators over the common denominator.
Simplify the numerator.
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Multiply by .
Add and .
Apply the distributive property.
Multiply by .
Rewrite using the commutative property of multiplication.
Multiply by by adding the exponents.
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Move .
Multiply by .
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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.
Add and .
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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Regroup terms.
Factor out of .
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Factor out of .
Factor out of .
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Factor out of .
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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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