1. **State the problem:** Evaluate the expression $$-3.375^{-0.6}$$. 2. **Recall the exponent rule:** For any nonzero number $a$ and real number $n$, $$a^{-n} = \frac{1}{a^n}$$. 3. **Rewrite the expression:** $$-3.375^{-0.6} = -\frac{1}{3.375^{0.6}}$$ 4. **Simplify the base:** Note that $3.375 = \frac{27}{8} = (\frac{3^3}{2^3}) = (\frac{3}{2})^3$. 5. **Apply the exponent:** $$3.375^{0.6} = \left((\frac{3}{2})^3\right)^{0.6} = (\frac{3}{2})^{3 \times 0.6} = (\frac{3}{2})^{1.8}$$ 6. **Calculate $(\frac{3}{2})^{1.8}$:** This is approximately $2.62$ (using a calculator or logarithms). 7. **Final evaluation:** $$-\frac{1}{3.375^{0.6}} = -\frac{1}{2.62} \approx -0.3817$$ **Answer:** $$-3.375^{-0.6} \approx -0.3817$$