SAT Exponents

Algebra Level 2

If aa and bb are positive non-consecutive integers and 4a4b=10244^{a} \cdot 4^{b} = 1024, which of the following equals 2a+2b?2^{a} + 2^{b}?

(A)   5\ \ 5
(B)   12\ \ 12
(C)   18\ \ 18
(D)   32\ \ 32
(E)   1024\ \ 1024

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