Question

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

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

Answer:

\(a^{2x}\)