Question

Question
Use the Negative Power Rule of exponents to write an equivalent fraction and decimal for 10−2
.(1 point)
Responses

10−2 =1100=0.001
10 superscript negative 2 baseline equals Start Fraction 1 over 100 End Fraction equals 0.001

10−2 =110=0.10
10 superscript negative 2 baseline equals Start Fraction 1 over 10 End Fraction equals 0.10

10−2 =110=0.01
10 superscript negative 2 baseline equals Start Fraction 1 over 10 End Fraction equals 0.01

10−2 =1100=0.01

Answer 1

To evaluate \( 10^{-2} \) using the Negative Power Rule of exponents, we can rewrite it as:

\[
10^{-2} = \frac{1}{10^2}
\]

Now, calculating \( 10^2 \):

\[
10^2 = 100
\]

So, we have:

\[
10^{-2} = \frac{1}{100}
\]

Now, converting \( \frac{1}{100} \) to a decimal:

\[
\frac{1}{100} = 0.01
\]

Therefore, the correct equivalent for \( 10^{-2} \) is:

\[
10^{-2} = \frac{1}{100} = 0.01
\]

So the correct response is:

**10^{−2} = \frac{1}{100} = 0.01**.