Here's a breakdown of what this means:

* M: Mass

* L: Length

* T: Time

This dimensional formula tells us that power is a measure of the rate of energy transfer, which can be expressed as the product of force and velocity.

Let's break down how we arrive at this formula:

* Work (W) = Force (F) x Distance (d)

* Work (W) = Energy (E)

* Power (P) = Work (W) / Time (t)

Substituting the dimensions for each quantity:

* [W] = [F] x [d] = [M L T⁻²] x [L] = [M L² T⁻²]

* [P] = [W] / [t] = [M L² T⁻²] / [T] = [M L² T⁻³]

Therefore, the dimension of power is [M L² T⁻³].