Question on: JAMB Mathematics - 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
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Correct Option: D
The given binary operations are:
\[a * b = a^2b\]
\[a ^ b = 2a + b\]
Now, let's evaluate \((-4 * 2) ^ (7 * -1)\):
\[(-4 * 2) = (-4)^2 \times 2 = 16 \times 2 = 32\]
\[ (7 * -1) = 7^2 \times (-1) = 49 \times (-1) = -49\]
Now, substitute these values into \(a ^ b = 2a + b\):
\[ (32) ^ (-49) = 2 \times 32 + (-49) = 64 - 49 = 15\]
So, the correct answer is 15
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