SOLUTION: A)Determine the greatest common factor for the following 3 terms: 48x^2y^3z^5, 120x^4y^2z^4, 35x^2y^3z^5 B)Simplify the following expression and rewrite using only positive ex

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Question 65151: A)Determine the greatest common factor for the following 3 terms:
48x^2y^3z^5, 120x^4y^2z^4, 35x^2y^3z^5
B)Simplify the following expression and rewrite using only positive exponents:(assume that the bases are not zero)
(2x^-2y^-2z^5)^3(3x^-2y^-4z2)3

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
A)Determine the greatest common factor for the following 3 terms:
48x^2y^3z^5, 120x^4y^2z^4, 35x^2y^3z^5
Looking at the coefficients: no common factor
Looking at the x-factors: x^2
Looking at the y-factors: y^2
Looking at the z-factors: z^4
GCF=x^2y^2z^4
----------------
B)Simplify the following expression and rewrite using only positive exponents:(assume that the bases are not zero)
[(2*x^-2*y^-2*z^5)^3][(3*x^-2*y^-4*z^2)^3
=(2*z^5/x^2y^2)^3 (3*z^2/x^2y^4)^3
=[6*z^7/x^4y^6)^3
=[216*z^21/x^12y^18]
Cheers,
Stan H.

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