128000(1+312/100000)^6

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



You asked:

Evaluate the expression: 128000(1+312100000)6128000 {\left( 1 + \frac{312}{100000} \right)}^{6}

MathBot Answer:

128000(1+312100000)6=388666772785077267741876129802322387695312500=130414.927980763257951905751498752128000 {\left( 1 + \frac{312}{100000} \right)}^{6} = \frac{3886667727850772677418761}{29802322387695312500} = 130414.927980763257951905751498752

128000(1+312100000)6=128000(1+3912500)6=128000(1253912500)6=128000⋅38866677278507726774187613814697265625000000000000=388666772785077267741876129802322387695312500\begin{aligned}128000 {\left( 1 + \frac{312}{100000} \right)}^{6}&=128000 {\left( 1 + \frac{39}{12500} \right)}^{6}\\&=128000 {\left( \frac{12539}{12500} \right)}^{6}\\&=128000 \cdot \frac{3886667727850772677418761}{3814697265625000000000000}\\&=\frac{3886667727850772677418761}{29802322387695312500}\end{aligned}

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