1. **Problem statement:** Determine which of the terms on the cards have the value 1. 2. **Recall the rules:** - Powers are evaluated before multiplication or negation. - Negative signs outside parentheses affect the sign of the result. - For any integer $n$, $(-1)^n$ equals 1 if $n$ is even, and -1 if $n$ is odd. 3. **Evaluate each term:** - Card A: $(-1^3)^2$ - First, evaluate the inner power: $1^3 = 1$ - Then, apply the negative sign: $-1$ - So, $(-1)^2 = 1$ - Card B: $((-1)^3)^5$ - $(-1)^3 = -1$ - $(-1)^5 = -1$ - Card C: $((-1)^2)^3$ - $(-1)^2 = 1$ - $1^3 = 1$ - Card D: $(-1^2)^3$ - $1^2 = 1$ - Apply negative sign: $-1$ - $(-1)^3 = -1$ - Card E: $((-1)^3)^4$ - $(-1)^3 = -1$ - $(-1)^4 = 1$ - Card F: $-(1^3)^2$ - $1^3 = 1$ - $1^2 = 1$ - Apply negative sign: $-1$ 4. **Summary:** - Cards with value 1: A, C, E - Cards with value -1: B, D, F **Final answer:** Cards A, C, and E have the value 1.