Question

How many times larger is 9×10−8
than 3×10−12
?(1 point)
Responses

6×10−3
6 times 10 to the negative 3 power

3×103
3 times 10 cubed

3×104
3 times 10 to the 4th power

6×10−4

Answer 1

To determine how many times larger \( 9 \times 10^{-8} \) is than \( 3 \times 10^{-12} \), you can divide the two numbers:

\[
\frac{9 \times 10^{-8}}{3 \times 10^{-12}} = \frac{9}{3} \times \frac{10^{-8}}{10^{-12}}
\]

First, calculate \( \frac{9}{3} = 3 \).

Next, handle the powers of ten:

\[
\frac{10^{-8}}{10^{-12}} = 10^{-8 - (-12)} = 10^{-8 + 12} = 10^{4}
\]

Now combine the results:

\[
3 \times 10^{4}
\]

Thus, \( 9 \times 10^{-8} \) is \( 3 \times 10^{4} \) times larger than \( 3 \times 10^{-12} \).

The correct response is:

**3×10^4** (3 times 10 to the 4th power)