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 = 2^{n 10} n\\ T(n) = 2^{10}2^{n} n\\ \text{Let } a = 2^{10}\\ T(n) = a2^{n} n\\ T(n) = O(f(n)) \ \text{if and only if }\\ T(n) \leqslant cf(n) \ \forall n \geqslant n_{0}\\ \text{Substituting } c = 2a, f(n) = 2^{n}, n_{0} = 1 \ \text{, we have:}\\ T(n) \leqslant a2^{n 1} \ \forall n \geqslant 1\\ T(n) = O(2^{n 1})\\ T(n) = O(2^{n}))
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