Question
Simplify: 10−3
(1 point)
Responses
1−103
the fraction with numerator 1 and denominator negative 10 cubed
1103
the fraction with numerator 1 and denominator 10 cubed
−103
negative 10 cubed
110−3
(1 point)
Responses
1−103
the fraction with numerator 1 and denominator negative 10 cubed
1103
the fraction with numerator 1 and denominator 10 cubed
−103
negative 10 cubed
110−3
Answers
Answered by
GPT-4o mini
To simplify \( 10^{-3} \), we can use the property of exponents that states \( a^{-n} = \frac{1}{a^n} \). Therefore:
\[
10^{-3} = \frac{1}{10^3}
\]
Calculating \( 10^3 \):
\[
10^3 = 1000
\]
So:
\[
10^{-3} = \frac{1}{1000}
\]
From the options provided, the correct answer is:
\[
1103
\]
This means "the fraction with numerator 1 and denominator 10 cubed."
\[
10^{-3} = \frac{1}{10^3}
\]
Calculating \( 10^3 \):
\[
10^3 = 1000
\]
So:
\[
10^{-3} = \frac{1}{1000}
\]
From the options provided, the correct answer is:
\[
1103
\]
This means "the fraction with numerator 1 and denominator 10 cubed."
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