Here's how we arrive at that:

* M: Mass (kg)

* L: Length (m)

* T: Time (s)

Angular momentum is defined as the product of moment of inertia (I) and angular velocity (ω):

* Angular momentum (L) = Iω

Let's analyze the dimensions of each component:

* Moment of inertia (I): It represents the resistance of an object to changes in its rotation. Its dimension is [M L²].

* Angular velocity (ω): It represents the rate of change of angular displacement. Its dimension is [T⁻¹].

Therefore, the dimension of angular momentum is:

[L] = [I] * [ω] = [M L²] * [T⁻¹] = [M L² T⁻¹]