(1+70.997595/100)^9

asked by guest
on Jan 01, 2025 at 1:58 am



You asked:

Evaluate the expression: \({\left( 1 + \frac{70.997595}{100} \right)}^{9}\)

MathBot Answer:

\[{\left( 1 + \frac{70.997595}{100} \right)}^{9} = \frac{64000001119444137640573018335624662198952720586800282389924024813279}{512000000000000000000000000000000000000000000000000000000000000000} = 125.000002186414331329244176436766918357329532396094301542820360963435546875\]

\[\begin{aligned}{\left( 1 + \frac{70.997595}{100} \right)}^{9}& = \left(1 + \left(70 + \frac{997595}{1000000}\right) \cdot \frac{1}{100}\right)^{9}\\& = \left(1 + \left(70 + \frac{199519}{200000}\right) \cdot \frac{1}{100}\right)^{9}\\& = \left(1 + \frac{14199519}{200000} \cdot \frac{1}{100}\right)^{9}\\& = \left(1 + \frac{14199519}{20000000}\right)^{9}\\& = \left(\frac{34199519}{20000000}\right)^{9}\\& = \frac{64000001119444137640573018335624662198952720586800282389924024813279}{512000000000000000000000000000000000000000000000000000000000000000}\end{aligned}\]

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