How many times less is 10 to the power of 2 than 10 to the power of 6 ? Express your answer as an integer power of 10.(1 point)

Question

Responses

10 to the power of −4
10 superscript negative 4 baseline

10,000
10,000

10 to the power of 4
10 superscript 4 baseline

0.0001
0.0001

Answer 1

To determine how many times less \( 10^2 \) is than \( 10^6 \), you can set up the problem as follows:

\[ \frac{10^2}{10^6} \]

Using the properties of exponents, this simplifies to:

\[ 10^{2 - 6} = 10^{-4} \]

Thus, \( 10^2 \) is \( 10^{-4} \) times less than \( 10^6 \).

The correct answer is:

\[ 10 \text{ to the power of } -4 \]