How many times less is 10^2

Question

than 10^6
? Express your answer as an integer power of 10. (1 point)
Responses

10^4

10,000
10,000

10^−4

0.0001

Answer 1

To determine how many times less \( 10^2 \) is than \( 10^6 \), we can set up the equation:

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

Using the properties of exponents, we can subtract the exponents:

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

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

The correct answer is:

10^−4