6×104

Question

is how many times greater than 6×102
?(1 point)
Responses

1000
1000

10,000
10 comma 000

100
100

10

Answer 1

To determine how many times greater \( 6 \times 10^4 \) is than \( 6 \times 10^2 \), we can set up the following calculation:

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

Using the properties of exponents, we can simplify \( \frac{10^4}{10^2} \):

\[ \frac{10^4}{10^2} = 10^{4-2} = 10^2 = 100 \]

Thus, \( 6 \times 10^4 \) is 100 times greater than \( 6 \times 10^2 \).

So the correct response is:

100