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The negative sign on the exponent just flips the (-8/1) upside down, giving you the cube root of (-1/8), which is (-1/2).
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