True, but infinity DOES have a value. It's value is infinite.
Okay, let me take a step back here, and explain my reasoning here.
Let's step back from multiplication, which would be adding infinity multiple times, and do just addition.
Let's add something simple, like, ∞+4.
At first glance, one would think, "oh, infinity plus four, because infinity is infinite, it has all values, so the answer must be infinity? right?"
Wrong. It's ∞+ 4, and here's why.
No matter what value you pick for infinity, the answer will always be, 4 more than that. The answer is not infinity, it's 4 more than infinity.
Now, let's step up to multiplication.
Multiplication, is simply just one number, added the amount of times of the other number. I could take the hard route and do infinite 2's, but I'll take the easy route here.
2x∞ = ∞+∞
Now, we're in the same situation as the first question. The answer is not infinity, it's infinitely more than infinity. Obviously, this can't be written, so we leave it as ∞+∞, or 2x∞.
All you can do to reduce this is divide it by 2, or by ∞.
Now, powers are just multiplication over and over, correct? So,
∞^2 = ∞x∞
Now, we have infinity multiplied infinite times, which can't be written, so we leave it as ∞x∞ or ∞^2.
In conclusion, what I'm trying to say is, infinity is an incombineable term, just like variables.