3.58*(1^(-0.85))

asked by guest
on Oct 18, 2024 at 11:33 pm



You asked:

Evaluate the expression: \(3.58 \cdot {1}^{-0.85}\)

MathBot Answer:

\[3.58 \cdot {1}^{-0.85} = \frac{179}{50} = 3.58\]


\[\begin{aligned}3.58 \cdot {1}^{-0.85}& = \left(3 + \frac{58}{100}\right) \cdot 1^{- \frac{85}{100}}\\& = \left(3 + \frac{29}{50}\right) \cdot 1^{- \frac{85}{100}}\\& = \frac{179}{50} \cdot 1^{- \frac{85}{100}}\\& = \frac{179}{50} \cdot 1^{- \frac{17}{20}}\\& = \frac{179}{50} \cdot 1^{-17/20}\\& = \frac{179}{50} \cdot 1\\& = \frac{179}{50}\end{aligned}\]