Question

question
simplify to a single power of 4:
4^5 · 4^2
answer attempt 1 out of 5
answer: 4^□

Explanation:

Step1: Apply exponent - product rule

When multiplying two powers with the same base \(a^m\cdot a^n=a^{m + n}\). Here \(a = 4\), \(m = 5\), and \(n=2\). So \(4^{5}\cdot4^{2}=4^{5 + 2}\).

Step2: Calculate the sum of exponents

\(5+2 = 7\), so \(4^{5 + 2}=4^{7}\).

Answer:

\(4^{7}\)