# SOLUTION: This is a homework assignment and I have been trying to solve it with no luck. The problem is as follows: (x^7y^-4z^0/5^-2x^3y^-8z^-9)^2 All exponents in final answers should be

Algebra ->  Algebra  -> Exponents -> SOLUTION: This is a homework assignment and I have been trying to solve it with no luck. The problem is as follows: (x^7y^-4z^0/5^-2x^3y^-8z^-9)^2 All exponents in final answers should be       Log On

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 Question 79222: This is a homework assignment and I have been trying to solve it with no luck. The problem is as follows: (x^7y^-4z^0/5^-2x^3y^-8z^-9)^2 All exponents in final answers should be positive. Final answers should have all single connecting signs and be arranged in descending order. This is what I have so far, but do not know if it is right. Homework is due Tuesday, April 24,2007. (x^7y^-4z^0/5^-2x^3y^-8z^-9)^2 = (x^7x^3/y^45^2y^8z^9)2 =(x^7)^2x^3(2)/(y^4)^2(5^2)^2(y^8)^2(z^9)^2 = x^14x^6/y^85^4y^16z^18 =x^14y^16z^185^4/x^6y^8 =5^4 x^14-6Y^16-8z^18 = 625z^18x^8y^8 Is this correct? If not, what am I doing wrong? Your reply and help is greatly appreciated. Thank you.Answer by stanbon(57361)   (Show Source): You can put this solution on YOUR website![(x^7) (y^-4) (z^0) /(5^-2) (x^3) (y^-8) (z^-9)]^2 ----------- = [5^2 (x^4) (y^4) (z^9)]^2 ------------ = 625 x^8 y^8 z^18 ============== Cheers, Stan H.