(1+42.996915/100)^3

asked by guest
on Jan 01, 2025 at 2:05 am



You asked:

Evaluate the expression: \({\left( 1 + \frac{42.996915}{100} \right)}^{3}\)

MathBot Answer:

\[{\left( 1 + \frac{42.996915}{100} \right)}^{3} = \frac{23392141988702881314887}{8000000000000000000000} = 2.924017748587860164360875\]

\[\begin{aligned}{\left( 1 + \frac{42.996915}{100} \right)}^{3}& = \left(1 + \left(42 + \frac{996915}{1000000}\right) \cdot \frac{1}{100}\right)^{3}\\& = \left(1 + \left(42 + \frac{199383}{200000}\right) \cdot \frac{1}{100}\right)^{3}\\& = \left(1 + \frac{8599383}{200000} \cdot \frac{1}{100}\right)^{3}\\& = \left(1 + \frac{8599383}{20000000}\right)^{3}\\& = \left(\frac{28599383}{20000000}\right)^{3}\\& = \frac{23392141988702881314887}{8000000000000000000000}\end{aligned}\]

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