Question

rewrite using a single exponent.
$(6^{9})^{2}$

Explanation:

Step1: Recall exponent rule

The power of a power rule states that \((a^m)^n = a^{m \times n}\).

Step2: Apply the rule

For \((6^9)^2\), here \(a = 6\), \(m = 9\), and \(n = 2\). So we multiply the exponents: \(9\times2 = 18\). Thus, \((6^9)^2 = 6^{18}\).

Answer:

\(6^{18}\)