Question

How many times larger is 3 x 10-5 than 6 x 10-12?

Answer 1

Answer:

5,000,000 times larger.

Step-by-step explanation:

We are asked to find  $3\times 10^{-5}$ in how many times greater than $6\times 10^{-12}$.

To solve our given problem, we will divide $3\times 10^{-5}$ by $6\times 10^{-12}$ as shown below:

$\frac{3\times 10^{-5}}{6\times 10^{-12}}$

Using exponent rule $\frac{a^m}{a^n}=a^{m-n}$, we will get:

$\frac{3\times 10^{-5}}{6\times 10^{-12}}=\frac{3}{6}\times 10^{-5-(-12)}$

$\frac{3\times 10^{-5}}{6\times 10^{-12}}=\frac{1}{2}\times 10^{-5+12}$

$\frac{3\times 10^{-5}}{6\times 10^{-12}}=0.5\times 10^{7}$

$\frac{3\times 10^{-5}}{6\times 10^{-12}}=0.5\times 10,000,000$

$\frac{3\times 10^{-5}}{6\times 10^{-12}}=5,000,000$

Therefore, $3\times 10^{-5}$ is 5,000,000 times larger than $6\times 10^{-12}$.

Answer 2

I hope this helps you