How am I supposed to read this

Question

So we started difference equations and im having a very very hard tome wrapping my head around it, im using our assigned textbook. How am I supposed to read 2^t(2)

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Answer 1

They are simply saying that $2^{t+1}$ is the same as writing $ 2^{t}2$. Utilizing the exponent rules (don't know how it's really phrased in english) where $$a^{b+c} = a^{b}a^{c}.$$ Hope this helped you.

Answer 2

The whole sentence, which it would have helped a lot if you quoted it, says But $2^{t+1}=2^t(2)$. It is just multiplication, as in $2^{t+1}=2^t \cdot 2$