(5y215y4)-2

Factor 5 out of 5y2.

(5(y2)15y4)-2

Cancel the common factors.

Factor 5 out of 15y4.

(5(y2)5(3y4))-2

Cancel the common factor.

(5y25(3y4))-2

Rewrite the expression.

(y23y4)-2

(y23y4)-2

(y23y4)-2

Multiply by 1.

(y2⋅13y4)-2

Cancel the common factors.

Factor y2 out of 3y4.

(y2⋅1y2(3y2))-2

Cancel the common factor.

(y2⋅1y2(3y2))-2

Rewrite the expression.

(13y2)-2

(13y2)-2

(13y2)-2

Change the sign of the exponent by rewriting the base as its reciprocal.

(3y2)2

Apply the product rule to 3y2.

32(y2)2

Raise 3 to the power of 2.

9(y2)2

Apply the power rule and multiply exponents, (am)n=amn.

9y2⋅2

Multiply 2 by 2.

9y4

9y4

Simplify ((5y^2)/(15y^4))^-2