Exponets

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Exponets

by moonlite » Mon Apr 20, 2009 10:12 am
Which of the following is equivalent to
(2^3)(3^4)(7) + (2^2)(3^5)(5) + (2^4)(3^3)(11) ?

(A) (2^2)(3^3)[(2)(3)(7) + (3^2)(5) + (2^2)(11)]
(B) (2^2)(3^4)[7 + (3)(5) + 11]
(C) (2)(3)[7 + 5 + 11]
(D) (2)(3^3)[(2)(3)(7) + (3^2)(5) + (2^2)(11)]
(E) (2)(3^4)[7 + (2)(3)(5) + 11]

How would you appraoch such a question in less than 2 minutes?
Any help is appreciated. Thanks.

OA A
Source: — Problem Solving |

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by mike22629 » Mon Apr 20, 2009 10:35 am
Its all about factoring:

What do all 3 terms have in common?

(2^2) and (3^3)

Hence take those out of all three terms, simplify, and you get A.