1-1/(1.1)^6

asked by guest
on Oct 22, 2024 at 5:23 pm



You asked:

Evaluate the expression: \(1 - \frac{1}{{1.1}^{6}}\)

MathBot Answer:

\[1 - \frac{1}{{1.1}^{6}} = \frac{771561}{1771561} \approx 0.4355260699462225686837766241185\]

\[\begin{aligned}1 - \frac{1}{{1.1}^{6}}& = 1 - \frac{1}{\left(1 + \frac{1}{10}\right)^{6}}\\& = 1 - \frac{1}{\left(\frac{11}{10}\right)^{6}}\\& = 1 - \frac{1}{\frac{1771561}{1000000}}\\& = 1 - \frac{1000000}{1771561}\\& = \frac{771561}{1771561}\end{aligned}\]

+ Submit Question