1. **State the problem:** Simplify the expression $$6 \left( \frac{1}{4} = \frac{1}{2} \right) - 2^3 \times 0.75$$. Note that the equal sign inside the parentheses seems to be a mistake or misinterpretation; assuming it means multiplication, the expression becomes $$6 \times \frac{1}{4} \times \frac{1}{2} - 2^3 \times 0.75$$. 2. **Recall the order of operations:** Parentheses, exponents, multiplication and division (left to right), addition and subtraction (left to right). 3. **Calculate inside the parentheses:** $$6 \times \frac{1}{4} \times \frac{1}{2} = 6 \times \frac{1}{8} = \frac{6}{8} = \frac{3}{4}$$. 4. **Calculate the exponent:** $$2^3 = 8$$. 5. **Multiply the exponent result by 0.75:** $$8 \times 0.75 = 6$$. 6. **Subtract the two results:** $$\frac{3}{4} - 6 = \frac{3}{4} - \frac{24}{4} = -\frac{21}{4} = -5.25$$. **Final answer:** $$-5.25$$