Simplify 6/( fifth root of y)

Math
6y5
Multiply 6y5 by y54y54.
6y5⋅y54y54
Combine and simplify the denominator.
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Multiply 6y5 and y54y54.
6y54y5y54
Raise y5 to the power of 1.
6y54y51y54
Use the power rule aman=am+n to combine exponents.
6y54y51+4
Add 1 and 4.
6y54y55
Rewrite y55 as y.
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Use axn=axn to rewrite y5 as y15.
6y54(y15)5
Apply the power rule and multiply exponents, (am)n=amn.
6y54y15⋅5
Combine 15 and 5.
6y54y55
Cancel the common factor of 5.
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Cancel the common factor.
6y54y55
Divide 1 by 1.
6y54y1
6y54y1
Simplify.
6y54y
6y54y
6y54y
Rewrite y54 as (y4)15.
6y45y
Simplify 6/( fifth root of y)

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