Subjects algebra

Expression Simplification 723Fc8

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1. **State the problem:** Simplify the expression $$\left(\frac{48}{2}\right) - \frac{17}{1} + 14^{-2} \times \frac{2}{1}$$. 2. **Recall the order of operations:** Perform division and exponents first, then multiplication, and finally addition and subtraction. 3. **Calculate each part:** - $$\frac{48}{2} = 24$$ - $$\frac{17}{1} = 17$$ - $$14^{-2} = \frac{1}{14^2} = \frac{1}{196}$$ - $$\frac{2}{1} = 2$$ 4. **Multiply the last two terms:** $$14^{-2} \times \frac{2}{1} = \frac{1}{196} \times 2 = \frac{2}{196} = \frac{1}{98}$$ 5. **Substitute back and simplify:** $$24 - 17 + \frac{1}{98} = 7 + \frac{1}{98} = \frac{7 \times 98}{98} + \frac{1}{98} = \frac{686}{98} + \frac{1}{98} = \frac{687}{98}$$ 6. **Final answer:** $$\frac{687}{98}$$ or approximately $$7.01$$.