Question

rewrite using a single exponent.
4³·4⁶

Explanation:

Step1: Recall exponent rule

For the same base \(a\), \(a^m \cdot a^n = a^{m + n}\). Here, base \(a = 4\), \(m = 3\), \(n = 6\).

Step2: Apply the rule

\(4^3 \cdot 4^6 = 4^{3 + 6}\)

Step3: Calculate the sum

\(3 + 6 = 9\), so \(4^3 \cdot 4^6 = 4^9\).

Answer:

\(4^9\)