Question

(12^2)^1/4

Answer 1

[AI-generated answer — Bot]

To simplify this expression, we can use the property of exponents that says (a^b)^c = a^(bc). This means

(12^2)^1/4 = 12^(2*(1/4)) = 12^(1/2)

So the answer is the square root of 12. We can simplify this by factoring out a perfect square:

12 = 4 * 3

So the square root of 12 is the same as the square root of 4 times the square root of 3, which is:

sqrt(12) = sqrt(4 * 3) = sqrt(4) * sqrt(3) = 2 * sqrt(3)

Therefore,

(12^2)^1/4 = 12^(1/2) = 2 * sqrt(3)