Question

simplify.
$(w^{3})^{3}$
write your answer without parentheses.

Explanation:

Step1: Recall the power of a power rule

The power of a power rule states that \((a^m)^n = a^{m\times n}\). Here, \(a = w\), \(m = 3\), and \(n = 3\).

Step2: Apply the rule

Using the rule, we have \((w^3)^3=w^{3\times3}\).

Step3: Calculate the exponent

Calculate \(3\times3 = 9\), so \((w^3)^3 = w^9\).

Answer:

\(w^9\)