= (10,000/2,000)^0.125 −1

asked by guest
on Nov 24, 2024 at 8:00 am



You asked:

Evaluate the expression: \({\left( \frac{10,000}{2,000} \right)}^{0.125} - 1\)

MathBot Answer:

\[{\left( \frac{10,000}{2,000} \right)}^{0.125} - 1 = -1 + \sqrt[8]{5} \approx 0.2228445449938518419411443644676\]

\[\begin{aligned}{\left( \frac{10,000}{2,000} \right)}^{0.125} - 1& = \left(\frac{10000}{2000}\right)^{\frac{125}{1000}} - 1\\& = \sqrt[8]{\frac{10000}{2000}} - 1\\& = \sqrt[8]{5} - 1\\& = -1 + \sqrt[8]{5}\end{aligned}\]

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