(1/6*10**22)^1/6

asked by guest
on Nov 16, 2024 at 9:22 pm



You asked:

Evaluate the expression: \(\frac{{\left( \frac{1}{6} \cdot {10}^{22} \right)}^{1}}{6}\)

MathBot Answer:

\[\frac{{\left( \frac{1}{6} \cdot {10}^{22} \right)}^{1}}{6} = \frac{2500000000000000000000}{9} = 277777777777777777777.\overline{7}\]


\[\begin{aligned}\frac{{\left( \frac{1}{6} \cdot {10}^{22} \right)}^{1}}{6}& = \left(\frac{1}{6} \cdot 10^{22}\right)^{1} \cdot \frac{1}{6}\\& = \left(\frac{10000000000000000000000}{6}\right)^{1} \cdot \frac{1}{6}\\& = \left(\frac{5000000000000000000000}{3}\right)^{1} \cdot \frac{1}{6}\\& = \frac{5000000000000000000000}{3} \cdot \frac{1}{6}\\& = \frac{2500000000000000000000}{9}\end{aligned}\]