Question

(48)with the exponent of 1/2

Answer 1

48^(1/2) = sqrt(48) = 4sqrt(3) = 6.93

When the exponent is a fraction:

The # ABOVE THE LINE is the POWER (it takes POWER to pull a carrot out of the ground)

The # BELOW THE LINE is the ROOT (just like the part of a carrot below the ground is the root)

So in this case, the power is 1 (you raise 48 to the first power) and the root is 2 (so you take the square root of that number). If the denominator of the exponent was 3, you'd take the cube root of 48^numerator.