The dimensions of “light-year” is L^x . Find the value of x.

We know that the light-years are used to calculate distance; the distance travelled by light in one year. 

The dimensional formula would be [L]

now the dimension formula would remain the same in all physical units,

[L] = [L^x]

Thus, x would be a dimensionless quantity.

x = [M⁰L⁰T⁰]

The value of x is 1.