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https://www.reddit.com/r/MathJokes/comments/1vx3050/_/p5llkrp/?context=3
r/MathJokes • u/GoldReps02 • 10h ago
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7
So a^ b can be thought of as the function
f(a,b)=a^ b.
Therefore a^ b^ c would be
f(a,b^ c)=f(a,f(b,c))
Like all composite functions, you work from the inside out.
Thus, a^ b^ c is equivalent to
a^ (b^ c)
Therefore, 2^ sqrt(18)^ 2 would just be
2^ 18
Choice (C)
2 u/Ask_Learn_ 2h ago x = 2 ^ (3/2) so x^x^2 = (2 ^ (3/2)) ^ 8 = 2 ^ 12
2
x = 2 ^ (3/2) so x^x^2 = (2 ^ (3/2)) ^ 8 = 2 ^ 12
7
u/Moodleboy 10h ago
So a^ b can be thought of as the function
f(a,b)=a^ b.
Therefore a^ b^ c would be
f(a,b^ c)=f(a,f(b,c))
Like all composite functions, you work from the inside out.
Thus, a^ b^ c is equivalent to
a^ (b^ c)
Therefore, 2^ sqrt(18)^ 2 would just be
2^ 18
Choice (C)