How to reduce exponentiation expressions?

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It is a simple question but I am afraid of its simplicity.

Is that correct : $2^{30}+2^{30}+2^{30}+2^{30} = 2^{30}(1 + 1 + 1 + 1) = (2^{30})\cdot 4 = 2^{30}\cdot2^2 = 2^{32}$?

I am doing complex exponentiation expressions and I need to simplify them but I do not know if this method is correct.