The force \(F\) acting on a particle in terms of its distance \(x\) from a fixed point is given by
\[
F=\frac{A}{B+x^{1.5}}.
\]
If the dimensional formula of \(AB\) is
\[
[M^aL^bT^c],
\]
then the value of \(a+b+c\) is
Show Hint
Only quantities having the same dimensions can be added or subtracted. First determine the dimensions of the denominator, then use
\[
\boxed{[A]=[F]\times[B].}
\]