What operation does the power 1/2 represent? Can you think of operations that other fractional powers represent, such as 1/3, 1/4 and 2/3?

It represents division

X^1/2 represent the square root of x

x^1/3 is the cube root of x

x^2/3 represents the square of the cube root of x

Note: - the power is the numerator of the exponent and the denominator of the exponents is the root