Question

Approximately how many times greater is 6 x 10^-5 than 5 x 10^-9

Answer 1

Answer: $6 \times 10^{-5}$ is $1.2 \times 10^4.$ times greater than $5 \times 10^{-9}$.

Step-by-step explanation:

We are given two numbers.

First number  : $6 \times 10^{-5}$.

Second number : $5 \times 10^{-9}$.

In order to find how many times   $6 \times 10^{-5}$ is greater than $5 \times 10^{-9}$, we need to divide first number by second number.

Therefore,

$6 \times 10^{-5}$ ÷ $5 \times 10^{-9}$

or $\frac{6 \times 10^{-5}}{5 \times 10^{-9}}$

First we would divide 6 by 5.

On dividing 6 by 5, we get 1.2.

Now, we would divide 10^-5 by 10^-9.

In order to divide them, we can apply quotient rule of exponents $\frac{a^m}{a^n} =a^{m-n}$.

We get

$\frac{10^{-5}}{10^{-9}}  = 10^{-5-(-9)} = 10^{-5+9} = 10^4$.

Therefore,

$\frac{6 \times 10^{-5}}{5 \times 10^{-9}}$ = $1.2 \times 10^4.$

So, we could say finally $6 \times 10^{-5}$ is $1.2 \times 10^4.$ times greater than $5 \times 10^{-9}$.