128000(1+312/100000)^6

asked by guest
on Nov 17, 2024 at 7:26 am



You asked:

Evaluate the expression: \(128000 \cdot {\left( 1 + \frac{312}{100000} \right)}^{6}\)

MathBot Answer:

\[128000 \cdot {\left( 1 + \frac{312}{100000} \right)}^{6} = \frac{3886667727850772677418761}{29802322387695312500} = 130414.927980763257951905751498752\]


\[\begin{aligned}128000 \cdot {\left( 1 + \frac{312}{100000} \right)}^{6}& = 128000 \cdot \left(1 + \frac{312}{100000}\right)^{6}\\& = 128000 \cdot \left(\frac{12539}{12500}\right)^{6}\\& = 128000 \cdot \frac{3886667727850772677418761}{3814697265625000000000000}\\& = \frac{3886667727850772677418761}{29802322387695312500}\end{aligned}\]