Simplify 1/( square root of 5y)

Math
15y
Multiply 15y by 5y5y.
15y⋅5y5y
Combine and simplify the denominator.
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Multiply 15y and 5y5y.
5y5y5y
Raise 5y to the power of 1.
5y5y15y
Raise 5y to the power of 1.
5y5y15y1
Use the power rule aman=am+n to combine exponents.
5y5y1+1
Add 1 and 1.
5y5y2
Rewrite 5y2 as 5y.
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Use axn=axn to rewrite 5y as (5y)12.
5y((5y)12)2
Apply the power rule and multiply exponents, (am)n=amn.
5y(5y)12⋅2
Combine 12 and 2.
5y(5y)22
Cancel the common factor of 2.
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Cancel the common factor.
5y(5y)22
Divide 1 by 1.
5y(5y)1
5y(5y)1
Simplify.
5y5y
5y5y
5y5y
Simplify 1/( square root of 5y)

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