1. **State the problem:** Rewrite the expression $$4(d)^{2/7} - (5q)^{3/5}$$ using radicals instead of fractional exponents. 2. **Recall the rule:** A fractional exponent $$a^{m/n}$$ can be rewritten as a radical: $$a^{m/n} = \sqrt[n]{a^m} = \left(\sqrt[n]{a}\right)^m$$. 3. **Apply the rule to each term:** - For $$4(d)^{2/7}$$, rewrite $$d^{2/7}$$ as $$\sqrt[7]{d^2}$$, so the term becomes $$4 \sqrt[7]{d^2}$$. - For $$(5q)^{3/5}$$, rewrite as $$\sqrt[5]{(5q)^3}$$. 4. **Write the full expression with radicals:** $$4 \sqrt[7]{d^2} - \sqrt[5]{(5q)^3}$$ 5. **Final answer:** $$4 \sqrt[7]{d^2} - \sqrt[5]{(5q)^3}$$