To simplify the expression [tex]\(2^2 \cdot 2^3\)[/tex], follow these steps:
1. Identify the Base and Exponents: The base for both terms is 2. The exponents are 2 and 3.
2. Apply the Laws of Exponents: According to the law [tex]\(a^m \cdot a^n = a^{m+n}\)[/tex], when you multiply two numbers with the same base, you add their exponents.
3. Add the Exponents: Adding the exponents 2 and 3, we get [tex]\(2 + 3 = 5\)[/tex].
4. Combine the Base and New Exponent: This gives us the simplified expression [tex]\(2^5\)[/tex].
So the correct answer is:
A. [tex]\(2^5\)[/tex]
