Question

1. $(x^{4})^{9}$

Explanation:

Step1: Apply power of a power rule

The power of a power rule states that \((a^m)^n = a^{m\times n}\). Here, \(a = x\), \(m = 4\), and \(n = 9\).
So, \((x^4)^9 = x^{4\times9}\)

Step2: Calculate the exponent

Calculate \(4\times9 = 36\). So we get \(x^{36}\).

Answer:

\(x^{36}\)