SOLUTION: Help please: I have answered some already. Please correct me if I'm wrong. Mark the following statements involving exponents as 'True' or 'False'. 1) (x+y)^-2=x^-2+y^-2 --- Fa

Question 568327: Help please: I have answered some already. Please correct me if I'm wrong.
Mark the following statements involving exponents as 'True' or 'False'.
1) (x+y)^-2=x^-2+y^-2 --- False
2) (a^3)(a^5)=a^15 --- True
3) (b^2)^4=b^6 --- False
4) (xy)^3=x*y^3 --- False
5) [(a^2)b^5)]^3=ab^30 -- ???
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
number 1 is false.
(x+y)^-2 = 1 / (x+y)^2 = 1 / (x^2 + 2xy + y^2)

number 2 is false. *****
(a^3) * (a^5) = a^(3 + 5) = a^8

number 3 is false.
(b^2)^4 = b^(2 * 4) = b^8

number 4 is false.
(xy)^3 = x^3 * y^3

number 5 is false. *****
(a^2 * b^5)^3 = a^6 * b^15

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