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((-frac (1)/(2))+(-(1)/(2))^2+(-(1)/(2))^3)((-(3)/(4))cdot (1)/(2))

Soru

((-frac (1)/(2))+(-(1)/(2))^2+(-(1)/(2))^3)((-(3)/(4))cdot (1)/(2))

Çözüm

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Uzman doğrulaması
Profesyonel · 6 yıl öğretmeni

Cevap

To solve the expression \(\frac {(-\frac {1}{2})+(-\frac {1}{2})^{2}+(-\frac {1}{2})^{3}}{(-\frac {3}{4})\cdot \frac {1}{2}}\), we need to follow these steps:1. Simplify the numerator.2. Simplify the denominator.3. Divide the simplified numerator by the simplified denominator.Let's start with the numerator: Calculate each term separately: Now, add these terms together: To add these fractions, we need a common denominator. The least common multiple of 2, 4, and 8 is 8. Convert each fraction to have a denominator of 8: Now add them: Next, simplify the denominator: Multiply the fractions: Now, divide the simplified numerator by the simplified denominator: Therefore, the value of the expression is: