Question

rewrite using a single exponent.
$9^4 \cdot 9^2$

Explanation:

Step1: Recall exponent rule

When multiplying exponents with the same base, we use the rule \(a^m \cdot a^n = a^{m + n}\), where \(a = 9\), \(m = 4\), and \(n = 2\).

Step2: Apply the rule

Substitute the values into the rule: \(9^4 \cdot 9^2 = 9^{4 + 2}\).

Step3: Simplify the exponent

Calculate \(4 + 2 = 6\), so we get \(9^6\).

Answer:

\(9^6\)