Question

simplify: $8^2 \cdot 8^3$
$8^5$
$8^6$
64
512

Explanation:

Step1: Recall exponent rule

When multiplying exponents with the same base, use \(a^m \cdot a^n = a^{m + n}\). Here, base \(a = 8\), \(m = 2\), \(n = 3\).

Step2: Apply the rule

\(8^2 \cdot 8^3 = 8^{2 + 3} = 8^5\).

Answer:

\(8^5\) (the first option, e.g., A. \(8^5\) if options are labeled A - D with A as \(8^5\))