We need to convert the expression $(7pq)^{3/5}$ into radical form.

1. Problem Description

We need to convert the expression $(7pq)^{3/5}$ into radical form.

2. Solution Steps

The general formula to convert a fractional exponent to a radical is:

$a^{m/n} = \sqrt[n]{a^m} = (\sqrt[n]{a})^m$

In our case, $a = 7pq$, $m = 3$, and $n = 5$.

Using the formula, we can rewrite the given expression as:

$(7pq)^{3/5} = \sqrt[5]{(7pq)^3}$

Alternatively, we can write it as:

$(7pq)^{3/5} = (\sqrt[5]{7pq})^3$

Since $(7pq)^3 = 7^3p^3q^3 = 343p^3q^3$, we can also write:

$(7pq)^{3/5} = \sqrt[5]{343p^3q^3}$

3. Final Answer

The answer is $\sqrt[5]{(7pq)^3}$