Let '*' and '^' be two binary operations such that a * b = a\(^2\)b
MATHEMATICS
JAMB 2023
Let '*' and '^' be two binary operations such that a * b = a\(^2\)b and a ^ b = 2a + b. Find (-4 * 2) ^ (7 * -1).
- A. -49
- B. 64
- C. 113
- D. 15
Correct Answer: D. 15
Explanation
Given that, a * b = a\(^2\)b and a ^ b = 2a + b
(-4 * 2) = (-4)\(^2\) x 2 = 16 x 2 = 32
(7 * -1) = 7\(^2\) x (-1) = 49 x (-1) = -49
∴ (-4 * 2) ^ (7 * -1) = 2(32) + (-49) = 64 - 49 = 15
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