Question

simplify the following expression:
$(b^3)^8$
options: 24b, $b^{24}$, $8b^3$, $b^{11}$

Explanation:

Step1: Recall exponent rule

For \((a^m)^n\), use \((a^m)^n = a^{m\times n}\).
Here \(a = b\), \(m = 3\), \(n = 8\).

Step2: Apply the rule

Calculate \(3\times8 = 24\), so \((b^3)^8 = b^{3\times8}=b^{24}\).

Answer:

\(b^{24}\) (corresponding to the option with \(b^{24}\))