Can you have a fraction as an exponent of a constant?

Answer 1

yes you can.

The numerator of the exponent is the normal integer type of exponent degree you are most used to seeing. The denominator of the exponent is similar to the degree of the root, as in square root, cube root, etc.

Pi is of course a constant. Pi to power of 3/2, π3/2, is the same as the square root of the quantity pi cubed (which is the same as the cube of the square root of pi).

Fractional exponents (rational exponents) follow the same algebra rules as integer exponents.