The nuclear symbol of an element have three parts namely:
The general representation is as:
[tex]_{Z}^{A}X[/tex]
where X is the chemical symbol of the element, A is mass number of the element that is total number of neutrons and protons in the nucleus of an atom, and Z is atomic number of the element that is number of protons in the atom.
Element = Gallium, [tex]Ga[/tex] (given)
Number of neutrons = 40 (given)
Let the nuclear symbol be [tex]_{?}^{?}Ga[/tex]. So, we need to determine the values of "?" in the symbol.
Atomic number of Gallium, [tex]Ga[/tex] = 31
Since, atomic number = Number of protons.
So, number of protons of Gallium, [tex]Ga[/tex] = 31
Mass number = number of protons + number of neutrons
Substituting the values:
Mass number = [tex]31+40 = 71[/tex]
So, the nuclear symbol is [tex]_{31}^{71}Ga[/tex].