Question

simplify the expression
$(3^2)^3$
options: $3^5$, $3^6$, $3^9$

Explanation:

Step1: Recall exponent rule

For \((a^m)^n\), use \((a^m)^n = a^{m\times n}\). Here \(a = 3\), \(m = 2\), \(n = 3\).

Step2: Apply the rule

Calculate \(2\times3 = 6\), so \((3^2)^3 = 3^{2\times3}=3^6\).

Answer:

\(3^6\) (corresponding to the middle option)