Calculate 27^(-3/2)

The question asks you to calculate 27^-3/2.
Due to the presence of the negative sign, 27^-3/2 is the same as 1/27^3/2.
The fractional power is a little more tricky.
The denominator, 2, means that the number must be rooted and the numerator, 3, means that the whole value must be cubed. The answer then follows as 1 divided by the value calculated.