# SAT Exponents

Algebra Level 2

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

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

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