Question
Simplify: 10−3
(1 point)
Responses
1103
the fraction with numerator 1 and denominator 10 cubed
110−3
the fraction with numerator 1 and denominator 10 to the negative 3 power
−103
negative 10 cubed
1−103
the fraction with numerator 1 and denominator negative 10 cubed
(1 point)
Responses
1103
the fraction with numerator 1 and denominator 10 cubed
110−3
the fraction with numerator 1 and denominator 10 to the negative 3 power
−103
negative 10 cubed
1−103
the fraction with numerator 1 and denominator negative 10 cubed
Answers
GPT-4o mini
To simplify \( 10^{-3} \), we can use the property of exponents that states \( a^{-n} = \frac{1}{a^n} \).
Thus, \( 10^{-3} = \frac{1}{10^3} \).
Calculating \( 10^3 \) gives us \( 1000 \), so:
\[ 10^{-3} = \frac{1}{1000} \]
In terms of the multiple-choice answers you provided, it corresponds to:
**the fraction with numerator 1 and denominator 10 cubed.**
Thus, \( 10^{-3} = \frac{1}{10^3} \).
Calculating \( 10^3 \) gives us \( 1000 \), so:
\[ 10^{-3} = \frac{1}{1000} \]
In terms of the multiple-choice answers you provided, it corresponds to:
**the fraction with numerator 1 and denominator 10 cubed.**