Simplify the Expression: 2^(2x+1) · 2^5 · 2^(3x)

We'll use the law of exponents for multiplying terms with identical bases:

$a^m\cdot a^n=a^{m+n}$
Note that this law applies to any number of terms being multiplied, not just two terms. For example, when multiplying three terms with the same base, we get:

$a^m\cdot a^n\cdot a^k=a^{m+n}\cdot a^k=a^{m+n+k}$
When we used the above law of exponents twice, we can also perform the same calculation for four terms in multiplication and so on...

Let's return to the problem:

Notice that all terms in the multiplication have the same base, so we'll use the above law:

$2^{2x+1}\cdot2^5\cdot2^{3x}=2^{2x+1+5+3x}=2^{5x+6}$

$$Therefore, the correct answer is a.