Subjects algebra

Division Exponentiation 831Afe

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1. **State the problem:** Calculate the value of the expression $$\frac{1.348.00}{(1,06)^2}$$. 2. **Clarify notation:** The expression likely means $$\frac{1348.00}{(1.06)^2}$$ where commas are decimal points and dots are thousand separators. 3. **Formula used:** This is a division and exponentiation problem. We calculate the denominator first, then divide. 4. **Calculate the denominator:** $$ (1.06)^2 = 1.06 \times 1.06 = 1.1236 $$ 5. **Divide numerator by denominator:** $$ \frac{1348.00}{1.1236} $$ 6. **Simplify division:** $$ \frac{1348.00}{1.1236} = \frac{\cancel{1348.00}}{\cancel{1.1236}} \approx 1200.14 $$ 7. **Final answer:** $$ \boxed{1200.14} $$ This means that dividing 1348 by 1.06 squared gives approximately 1200.14.