6.022×10^(-23)

asked by guest
on Oct 22, 2024 at 11:46 am



You asked:

Evaluate the expression: \(6.022 \cdot {10}^{-23}\)

MathBot Answer:

\[6.022 \cdot {10}^{-23} = \frac{3011}{50000000000000000000000000} = 0.00000000000000000000006022\]


\[\begin{aligned}6.022 \cdot {10}^{-23}& = \left(6 + \frac{22}{1000}\right) \cdot \frac{1}{10^{23}}\\& = \left(6 + \frac{11}{500}\right) \cdot \frac{1}{10^{23}}\\& = \frac{3011}{500} \cdot \frac{1}{10^{23}}\\& = \frac{3011}{500} \cdot \frac{1}{100000000000000000000000}\\& = \frac{3011}{50000000000000000000000000}\end{aligned}\]