The luminous intensity L L\,L of a specific lamp is measured as a function of the distance d d\,d from the filament. Under certain conditions, the intensity is modeled by
L(d)=(27+4d5)−23 L(d) = \left( 27 + \frac{4d}{5} \right)^{-\frac{2}{3}} L(d)=(27+54d)−32Determine the range of values of d d\,d for which the binomial expansion of L(d)L(d)L(d) in ascending powers of d d\,d is valid.
