Question
(10^(-2))/(10^(-1)) as a fraction
Answers
GPT-4o mini
To simplify \(\frac{10^{-2}}{10^{-1}}\), you can use the property of exponents that states \(\frac{a^m}{a^n} = a^{m-n}\).
So:
\[
\frac{10^{-2}}{10^{-1}} = 10^{-2 - (-1)} = 10^{-2 + 1} = 10^{-1}
\]
Now, \(10^{-1}\) can be expressed as a fraction:
\[
10^{-1} = \frac{1}{10}
\]
Thus, \(\frac{10^{-2}}{10^{-1}}\) simplifies to \(\frac{1}{10}\).
So:
\[
\frac{10^{-2}}{10^{-1}} = 10^{-2 - (-1)} = 10^{-2 + 1} = 10^{-1}
\]
Now, \(10^{-1}\) can be expressed as a fraction:
\[
10^{-1} = \frac{1}{10}
\]
Thus, \(\frac{10^{-2}}{10^{-1}}\) simplifies to \(\frac{1}{10}\).