How many times larger is 9×10−8

Question

than 3×10−12
?(1 point)
Responses

3×103
3 times 10 cubed

6×10−4
6 times 10 to the negative 4 power

3×104
3 times 10 to the 4th power

6×10−3

Answer 1

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

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

Now, simplify the fraction:

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

\[ = 3 \times 10^{-8 - (-12)} \]

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

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

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

The correct response is:

3×10⁴ (3 times 10 to the 4th power)