Subjects algebra

Integer Operations 1758De

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1. **State the problem:** Evaluate the expression $$(-3)^3 - 2 + \frac{8}{-8}$$. 2. **Recall the order of operations (PEMDAS):** - Parentheses - Exponents - Multiplication and Division (from left to right) - Addition and Subtraction (from left to right) 3. **Calculate the exponent:** $$(-3)^3 = (-3) \times (-3) \times (-3) = -27$$ 4. **Rewrite the expression with this value:** $$-27 - 2 + \frac{8}{-8}$$ 5. **Calculate the division:** $$\frac{8}{-8} = -1$$ 6. **Rewrite the expression:** $$-27 - 2 + (-1)$$ 7. **Perform the subtraction and addition from left to right:** $$-27 - 2 = -29$$ 8. **Then:** $$-29 + (-1) = -30$$ **Final answer:** $$\boxed{-30}$$