  For a set of integers $A$, we consider $R(A)=\{a/b: a, b\in A, b\neq 0\}$. It
is an open problem to study the denseness of $R(A)$ in the $p$-adic numbers
when $A$ is the set of nonzero values attained by an integral form. This
problem has been answered for quadratic forms. Very recently, Antony and Barman
have studied this problem for the diagonal binary cubic forms $ax^3+by^3$,
where $a$ and $b$ are integers. In this article, we study this problem for
diagonal forms. We extend the results of Antony and Barman to the diagonal
binary forms $ax^n+by^n$ for all $n\geq 3$. We also study $p$-adic denseness of
quotients of nonzero values attained by diagonal forms of degree $n\geq 3$,
where $\gcd(n,p(p-1))=1$.
