Subjects algebra

Expression Simplify 02Bff5

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1. **State the problem:** Simplify the expression $-2^4/4-4(12/6)+10$. 2. **Recall order of operations:** Exponents first, then multiplication and division from left to right, then addition and subtraction. 3. **Calculate the exponent:** $2^4 = 16$. Since the negative sign is not in parentheses, it applies after exponentiation, so $-2^4 = -(2^4) = -16$. 4. **Rewrite the expression:** $$\frac{-16}{4} - 4 \times \frac{12}{6} + 10$$ 5. **Simplify division:** $$\frac{-16}{4} = -4$$ and $$\frac{12}{6} = 2$$. 6. **Rewrite:** $$-4 - 4 \times 2 + 10$$ 7. **Multiply:** $$-4 \times 2 = -8$$. 8. **Rewrite:** $$-4 - 8 + 10$$ 9. **Perform addition and subtraction from left to right:** $$-4 - 8 = -12$$, then $$-12 + 10 = -2$$. **Final answer:** $-2$