Question

rewrite using a single exponent.
$4^3 \cdot 4^6$

Explanation:

Step1: Recall exponent rule for multiplication

When multiplying two powers with the same base, we add the exponents: \(a^m \cdot a^n = a^{m + n}\). Here, the base \(a = 4\), \(m = 3\), and \(n = 6\).

Step2: Apply the rule

For \(4^3 \cdot 4^6\), add the exponents: \(3 + 6 = 9\). So, \(4^3 \cdot 4^6 = 4^{3 + 6}=4^9\).

Answer:

\(4^9\)