Subjects algebra

Evaluate Expression 72661C

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Evaluate Expression 72661C


1. **State the problem:** Evaluate the expression $$12 + \left(\frac{2^5}{-8}\right) \times |12 - 15| + 5$$. 2. **Recall the order of operations:** Parentheses, Exponents, Multiplication/Division (left to right), Addition/Subtraction (left to right). 3. **Calculate the exponent:** $$2^5 = 32$$. 4. **Divide:** $$\frac{32}{-8} = -4$$. 5. **Calculate the absolute value:** $$|12 - 15| = |-3| = 3$$. 6. **Multiply:** $$-4 \times 3 = -12$$. 7. **Add all terms:** $$12 + (-12) + 5 = 0 + 5 = 5$$. **Final answer:** $$5$$.