Dimension of which base quantity corresponds to that (Gh)/(c3) = ?

As, gravitational constant,

$\left[G\right] =\left[M^{- 1}L^{3}T^{- 2}\right]$

Planck's constant, \left[h\right] = \left[{ML}^{2}T^{- 1}\right]

Hence, \left[G\right] \left[h\right] = \left[M^{- 1}L^{3}T^{- 2}\right]\left[{ML}^{2}T^{- 1}\right]$</p><p>$= \left[M^{0}L^{5}T^{- 3}\right]$</p><p>Velocity of light,$[ c ] = \left[{LT}^{- 1}\right]

Now, \left[\dfrac{Gh}{c3}\right]1 / 2 = \dfrac{ \left[L^{5}T^{- 3}\right]1 / 2}{ \left[L^{3}T^{- 3}\right]1 / 2}=\left[L^{2}\right]1 / 2 = \left[L\right]$</p><p>Hence$[ L ] = length