The displacement of a particle moving along x-axis with respect to time t is `x=at+bt^(2)-ct^(3)`. The dimensions of c is `LT^(-x)`. The value of x is

Explanation

To solve the problem, we start with the given equation for displacement:

\[ x = at + bt^2 - ct^3 \]

Here, \( x \) represents displacement, \( a \), \( b \), and \( c \) are constants, and \( t \) is time.

### Step 1: Identify the dimensions of each term
- The dimension of displacement \( x \) is \( [L] \) (length).
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