22400(1+(-.8))^(13)

asked by guest
on Jul 26, 2024 at 11:08 pm



You asked:

Evaluate the expression: \(22400 \cdot {\left( 1 + -.8 \right)}^{13}\)

MathBot Answer:

\[22400 \cdot {\left( 1 + -.8 \right)}^{13} = \frac{896}{48828125} = 0.00001835008\]

\[\begin{aligned}22400 \cdot {\left( 1 + -.8 \right)}^{13}& = 22400 \cdot \left(1 - \frac{8}{10}\right)^{13}\\& = 22400 \cdot \left(1 - \frac{4}{5}\right)^{13}\\& = 22400 \cdot \left(\frac{1}{5}\right)^{13}\\& = \frac{22400}{1220703125}\\& = \frac{896}{48828125}\end{aligned}\]

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