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

1 answer

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.
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