Question

question
simplify to a single power of 2:
$2^4 \cdot 2^2$
answer attempt 2 out of 2
answer: $2^{\square}$

Explanation:

Step1: Recall exponent rule for multiplication

When multiplying exponents with the same base, we add the exponents: $a^m \cdot a^n = a^{m + n}$. Here, the base $a = 2$, $m = 4$, and $n = 2$.

Step2: Apply the rule

For $2^4 \cdot 2^2$, we add the exponents: $4 + 2 = 6$. So $2^4 \cdot 2^2 = 2^6$.

Answer:

$2^6$ (or in the boxed form as per the question's layout, the exponent is 6, so the answer in the box is 6)