2023
Mathematics
67ca00ce0c643c71d77dee1f
Let '*' and '^' be two binary operations such that a * b = a2b and a ^ b = 2a + b. Find (-4 * 2) ^ (7 * -1).
A.
-49
B.
64
C.
113
D.
15
Correct Answer: 15
Explanation
Given that, a * b = a2b and a ^ b = 2a + b (-4 * 2) = (-4)2 x 2 = 16 x 2 = 32 (7 * -1) = 72 x (-1) = 49 x (-1) = -49 ∴ (-4 * 2) ^ (7 * -1) = 2(32) + (-49) = 64 - 49 = 15
Given that, a * b = a2b and a ^ b = 2a + b (-4 * 2) = (-4)2 x 2 = 16 x 2 = 32 (7 * -1) = 72 x (-1) = 49 x (-1) = -49 ∴ (-4 * 2) ^ (7 * -1) = 2(32) + (-49) = 64 - 49 = 15THIS WEEK's
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