100 ^ 1/2-125^ 1/3

the exponent is a fraction I know its 5 but I need the steps

Raising a number to 1/2 is the same as wanting the square root of the number so 100 ^1/2 = squareroot (100) = 10

Raising a number by 1/3 is the same as wanting the cube root of the number so 125^1/3 = cubicroot (125) = 5

Now you have 10-5 = 5