1. The problem involves evaluating powers and solving for unknowns in number patterns and graphs. 2. For powers, recall the rule: $a^1 = a$ and $a^2 = a \times a$. 3. (a) $7^1 = 7$ because any number to the power 1 is itself. 4. (b) $8^2 = 8 \times 8 = 64$. 5. (c) $6^1 = 6$. 6. (d) $9^2 = 9 \times 9 = 81$. 7. Next, for the graph with two 5s and a question mark above 11, the pattern suggests the question mark is the square of a number related to 11. 8. Checking options: (a) $6^2=36$, (b) $5^2=25$, (c) $4^2=16$, (d) $8^2=64$. None equals 11, so likely the question mark is 5 (option b) as it fits the pattern of the two 5s. 9. For the graph with 26 and 5 on sides, 12¹ above, and ? below, the question mark is likely 13 (option b) as it fits the pattern of numbers increasing or decreasing by 1. 10. For the square with arrows labeled 6 up, 7 down, 4 left, 8 right around 5, the numbers 13, 12, 9 are handwritten possibly as sums or differences. 11. For the square with 7 center and arrows 19 up, 10 down, 15 left, 5 right, the pattern suggests sums or differences. 12. For the square with arrows 20 left, 30 right, 25 up and down, the mystery number is 12 (option a) as it balances the pattern. 13. For the last multiple choice with 5, ?, 7, the answer is 7 (option a) as it fits the pattern. 14. Summary of answers: - Powers: (a)7, (b)64, (c)6, (d)81 - Question mark near 11: 5 - Question mark near 12¹: 13 - Mystery number in arrow graph: 12 - Final question mark: 7 15. These problems combine understanding powers and recognizing numeric patterns in graphs.