Question

question 3 · 1 point simplify: $4^8 \cdot 4^{15} \cdot 4^7$. provide your answer below:

Explanation:

Step1: Recall exponent rule for multiplication

When multiplying exponential terms with the same base, we use the rule \(a^m \cdot a^n = a^{m + n}\). Here, the base \(a = 4\), and we have three terms: \(4^2\), \(4^{15}\), and \(4^7\). So we add their exponents.
\(4^2 \cdot 4^{15} \cdot 4^7 = 4^{2 + 15 + 7}\)

Step2: Calculate the sum of exponents

Calculate \(2 + 15 + 7\). First, \(2+15 = 17\), then \(17 + 7 = 24\). So the expression becomes \(4^{24}\).

Answer:

\(4^{24}\)