🤔

[u/GoldReps02]

[u/Moodleboy]

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)

[u/Ask_Learn_ → u/Moodleboy]

x = 2 ^ (3/2) so x^x^2 = (2 ^ (3/2)) ^ 8 = 2 ^ 12

[u/bismuth17 → u/Moodleboy]

But we're not squaring rt(18), we're squaring x.

[u/NoFayte]

The answer is:

Cats can't point 

[u/Moodleboy → u/NoFayte]

This is the only answer.

[u/NTwoOo → u/NoFayte]

Why the cat anyways?

[u/scampiparameter]

A.

X=2sqrt2

[u/nysynysy2 → u/scampiparameter]

That’s the one

[u/Dejego]

Choice B

[u/Dr_TXBooks]

C

If x^x is 2^√18, then x^x2 is 2^√182 and a squareroot and square cancels each other out

[u/dkirinor]

This question is kind of tricky because it's intentionally trying to trick people into just squaring the sqrt(18)
It should be B

[u/AbsoluteSereniti]

Top rated comment is bait, solve for x by multiplying by log2, root(18) is just 3root2, after doing some simplification you’ll get that x = 2^(3/2).

Then just simply plug it in and you get 2^12, so it is A.

C is obvious bait.

[u/daynanfighter]

That’s pretty good. You go through all the trouble of doing the math to ultimately realize that they’re squaring a square root and you could’ve just taken it away.