Question

Simplify: 10−^3
(1 point)
Responses

1103
the fraction with numerator 1 and denominator 10 cubed

−103
negative 10 cubed

110−3
the fraction with numerator 1 and denominator 10 to the negative 3 power

1−103

Answer 1

To simplify \( 10^{-3} \), we use the property of negative exponents, which states that \( a^{-n} = \frac{1}{a^n} \).

Thus,

\[
10^{-3} = \frac{1}{10^3}
\]

Calculating \( 10^3 \):

\[
10^3 = 1000
\]

So we have:

\[
10^{-3} = \frac{1}{1000}
\]

This matches with the response "the fraction with numerator 1 and denominator 10 cubed". Therefore, the correct simplification is:

**the fraction with numerator 1 and denominator 10 cubed.**