Soru
((-frac (1)/(2))+(-(1)/(2))^2+(-(1)/(2))^3)((-(3)/(4))cdot (1)/(2))
Çözüm
3
(169 Oylar)
Fevzi
Profesyonel · 6 yıl öğretmeni
Uzman doğrulaması
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: