How to raise to a negative fraction? 1/2(6^(-1/2))

How do you raise 6 to the negative 1/2 power? Please explain, and thank you.

A fractional exponent indicated the root function. Hence, an exponent of (1/2) means "square root", while (1/3) means "cube root", and "3/4" would mean 3 multiplied by the fourth root.

A negative exponent means take the reciprocal. Hence, 3^(-1) means 1/3, and 3^(-2) means 1/(3²)


So, 1/2(6^(-1/2)) means:

1/2 * 1/sqrt(6) = 1/(2sqrt(6))

1/positive

1/(2 Sqrt[6])