(0.02)^(3/2)

asked by guest
on Nov 21, 2024 at 9:53 pm



You asked:

Evaluate the expression: \({0.02}^{\frac{3}{2}}\)

MathBot Answer:

\[{0.02}^{\frac{3}{2}} = \frac{\sqrt{2}}{500} \approx 0.00282842712474619009760337744842\]


\[\begin{aligned}{0.02}^{\frac{3}{2}}& = \left(\frac{2}{100}\right)^{\frac{3}{2}}\\& = \left(\frac{1}{50}\right)^{\frac{3}{2}}\\& = \frac{1}{500} \cdot \sqrt{2}\end{aligned}\]