1. **Problem:** Find the value of $$(256)^{0.16} \times (256)^{0.09}$$. 2. **Formula:** When multiplying powers with the same base, add the exponents: $$a^m \times a^n = a^{m+n}$$ 3. **Apply the formula:** $$ (256)^{0.16} \times (256)^{0.09} = 256^{0.16 + 0.09} = 256^{0.25} $$ 4. **Simplify the exponent:** $$0.25 = \frac{1}{4}$$ 5. **Rewrite the expression:** $$256^{\frac{1}{4}} = \sqrt[4]{256}$$ 6. **Evaluate the fourth root:** Since $$256 = 4^4$$, then $$\sqrt[4]{256} = 4$$ 7. **Final answer:** $$\boxed{4}$$