Answer
The required values are\[0.25,0.\overline{1},0.015625,0.125,0.03125\] and \[0.015625\].
Work Step by Step
Use scientific calculator in a fraction mode for above exercises to obtain:
\[\begin{align}
& 19.\ {{2}^{-2}}=0.25 \\
& 20.\ {{3}^{-2}}=0.\overline{1} \\
& 21.\ {{4}^{-3}}=0.015625 \\
& 22.\ {{2}^{-3}}=0.125
\end{align}\]
And,
\[\begin{align}
& {{23.2}^{-5}}=0.03125 \\
& {{24.2}^{-6}}=0.015625 \\
\end{align}\]
After the use of the fractal mode of calculator, the final answers are exactly matched. Hence, the final answers are correct.
