The sum of all rational terms in the expansion of `(3^(1/5) + 2^(1/3))^15` is

Explanation

To find the sum of all rational terms in the expansion of \( (3^{1/5} + 2^{1/3})^{15} \), we can follow these steps:

### Step 1: Identify the Binomial Expansion
We will use the Binomial Theorem, which states that:
\[ (a + b)^n = \sum_{r=0}^{n} \binom{n}{r} a^{n-r} b^r \]
In our case, \( a = 3^{1/5} \), \( b = 2^{1/3} \), and \( n = 15 \).
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