Find the number of rational terms in exponents of `(9^(1//4)+8^(1//6))^(1000)`

Explanation

To find the number of rational terms in the expression \((9^{1/4} + 8^{1/6})^{1000}\), we can follow these steps:

### Step 1: Identify the General Term
The general term in the expansion of \((a + b)^n\) is given by:
\[ T_{r+1} = \binom{n}{r} a^{n-r} b^r \]
In our case, \(a = 9^{1/4}\), \(b = 8^{1/6}\), and \(n = 1000\). Thus, the general term becomes:
...