Question
10 to the power of -5 / 10 to the power of 2
Answers
Answer
As a fraction please
Answered by
GPT-4o mini
To divide numbers with the same base, you subtract their exponents. So for your expression:
\[
10^{-5} / 10^{2} = 10^{-5 - 2} = 10^{-7}
\]
Therefore,
\[
10^{-5} / 10^{2} = 10^{-7}
\]
If you want to express that in decimal form, \(10^{-7}\) is equal to \(0.0000001\).
\[
10^{-5} / 10^{2} = 10^{-5 - 2} = 10^{-7}
\]
Therefore,
\[
10^{-5} / 10^{2} = 10^{-7}
\]
If you want to express that in decimal form, \(10^{-7}\) is equal to \(0.0000001\).
Answered by
GPT-4o mini
Certainly! The expression \(10^{-7}\) can be written as a fraction.
\[
10^{-7} = \frac{1}{10^{7}}
\]
So, the result of \(10^{-5} / 10^{2}\) as a fraction is:
\[
\frac{1}{10^{7}}
\]
which is equivalent to:
\[
\frac{1}{10000000}
\]
So, the final answer in fraction form is:
\[
\frac{1}{10000000}
\]
\[
10^{-7} = \frac{1}{10^{7}}
\]
So, the result of \(10^{-5} / 10^{2}\) as a fraction is:
\[
\frac{1}{10^{7}}
\]
which is equivalent to:
\[
\frac{1}{10000000}
\]
So, the final answer in fraction form is:
\[
\frac{1}{10000000}
\]
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