Question

Simplify: 10−3
(1 point)
Responses

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

−103
negative 10 cubed

1103
the fraction with numerator 1 and denominator 10 cubed

1−103

Answer 1

To simplify \( 10^{-3} \), we can use the rule that states \( a^{-n} = \frac{1}{a^n} \).

Thus, we have:

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

Now, calculating \( 10^3 \):

\[
10^3 = 1000
\]

So,

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

Which can also be expressed as:

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

From the provided responses, the correct choice corresponding to this simplification is:

**the fraction with numerator 1 and denominator 10 to the negative 3 power.**

This is the correct interpretation of \( 10^{-3} \).