Question

Calculate 9 ∙ 10-5 divided by 3 ∙ 10-9. (Box after the "10" in answer is for the exponent.).

Answer 1

Answer:

3 × 10⁴

Explanation:

We are given two numbers, $n_1=9\times 10^{-5}$ and $n_2=3\times 10^{-9}$

We have to divide n₁ by n₂. We know that,

$\dfrac{10^n}{10^m}=10^{n-m}$

Here, n = -5 and m = -9

So on dividing we get :

$\dfrac{9\times 10^{-5}}{3\times 10^{-9}}=3\times 10^{-5+9}=3\times 10^4$

Hence, on dividing n₁ by n₂ obtained number is 3 × 10⁴.