Question

check here for instructional material to complete this problem. perform the exponentiation by hand. then use a calculator to check your work. \\((-9)^4\\) \\((-9)^4 = \square\\)

Explanation:

Step1: Recall exponentiation rule

For a negative base and even exponent, \((-a)^n = a^n\) when \(n\) is even. Here, \(a = 9\) and \(n = 4\), so \((-9)^4=9^4\).

Step2: Calculate \(9^4\)

\(9^4 = 9\times9\times9\times9\). First, \(9\times9 = 81\), then \(81\times9 = 729\), and \(729\times9 = 6561\).

Answer:

\(6561\)