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 $$7.01$$.
Expression Simplification 723Fc8
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