Subjects algebra

Expression Simplification 0B2551

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1. **State the problem:** Simplify the expression $-2^4/4-4(48/6)+10$. 2. **Recall order of operations:** Exponents first, then multiplication and division from left to right, and finally addition and subtraction. 3. **Calculate the exponent:** $2^4 = 16$. Since the negative sign is not in parentheses, it applies after exponentiation, so $-2^4 = -16$. 4. **Rewrite the expression:** $$\frac{-16}{4} - 4 \times \frac{48}{6} + 10$$ 5. **Simplify division:** $$\frac{-16}{4} = -4$$ and $$\frac{48}{6} = 8$$. 6. **Substitute back:** $$-4 - 4 \times 8 + 10$$ 7. **Multiply:** $$-4 - 32 + 10$$ 8. **Add and subtract from left to right:** $$-4 - 32 = -36$$, then $$-36 + 10 = -26$$. **Final answer:** $-26$