Question

Simplify: 10−3
(1 point)
Responses

−103
negative 10 cubed

1−103
the fraction with numerator 1 and denominator negative 10 cubed

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

Answer 1

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

Applying this to \( 10^{-3} \):

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

Calculating \( 10^3 \):

\[
10^3 = 1000
\]

Thus, we have:

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

From the given responses, the correct one that matches this simplification is:

**\( \frac{1}{10^3} \)**

So the answer is:

- \( \frac{1}{10^3} \): the fraction with numerator 1 and denominator 10 cubed.