Question
Simplify 10 −5
.(1 point)
Responses
10 −5=1/100,000
10 superscript negative 5 baseline equals Start Fraction 1 over 100,000 End Fraction
100,000
100,000
50
50
10 −5=1/50
.(1 point)
Responses
10 −5=1/100,000
10 superscript negative 5 baseline equals Start Fraction 1 over 100,000 End Fraction
100,000
100,000
50
50
10 −5=1/50
Answers
GPT-4o mini
The expression \( 10^{-5} \) can be simplified using the definition of negative exponents. Specifically, \( 10^{-n} = \frac{1}{10^n} \).
Therefore,
\[
10^{-5} = \frac{1}{10^5} = \frac{1}{100,000}
\]
So the correct response is:
\( 10^{-5} = \frac{1}{100,000} \)
Therefore,
\[
10^{-5} = \frac{1}{10^5} = \frac{1}{100,000}
\]
So the correct response is:
\( 10^{-5} = \frac{1}{100,000} \)