Which expression is equivalent to open paren 4 x cubed y to the 5th power close paren times open paren 3 x to the 5th power y close paren squared ?

First square the second factor: (3x^5y)^2 = 9x^10y^2. Then multiply by 4x^3y^5, multiplying coefficients and adding exponents of matching variables: 4·9 = 36, x^(3+10) = x^13, and y^(5+2) = y^7. The equivalent expression is 36x^13y^7, choice A.

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