15y

Multiply 15y by 5y5y.

15y⋅5y5y

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.

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.

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)