Answer:
[tex]_{33}^{74}\text{As} \longrightarrow _{32}^{74}\text{Ge} + _{1}^{0}\text{e}[/tex]
Explanation:
The unbalanced nuclear equation is
[tex]_{33}^{74}\text{As} \longrightarrow ? + _{1}^{0}\text{e}[/tex]
It is convenient to replace the question mark by an atomic symbol, [tex]_{x}^{y}\text{Z}[/tex] , where x = the atomic number, y = the mass number, and Z = the symbol of the element .
Then your equation becomes
[tex]_{33}^{74}\text{As} \longrightarrow _{x}^{y}\text{Z} + _{1}^{0}\text{e}[/tex]
The main point to remember in balancing nuclear equations is that **the sums of the superscripts and the subscripts must be the same on each side of the equation**.
Then
74 = x + 0, so x = 74
33 = y + 1, so y = 33 -1 = 32
Element 33 is germanium, so the nuclear equation becomes
[tex]_{33}^{74}\text{As} \longrightarrow _{32}^{74}\text{Ge} + _{1}^{0}\text{e}[/tex]