Question

question 22 of 25 step 1 of 1 evaluate the expression. $(-1)^4$ answer 2 points

Explanation:

Step1: Recall exponent rule

For any real number \( a \) and positive integer \( n \), \( a^n \) means multiplying \( a \) by itself \( n \) times. Here, \( a = -1 \) and \( n = 4 \), so \( (-1)^4=(-1)\times(-1)\times(-1)\times(-1) \).

Step2: Multiply step by step

First, \( (-1)\times(-1) = 1 \). Then, multiply the result by \( -1 \): \( 1\times(-1)= -1 \). Then multiply by \( -1 \) again: \( -1\times(-1)=1 \).

Answer:

\( 1 \)