Question

How many times greater is 2.3 x 10 to the power of -4 then 1.15 x 10 to the power of -8?

115
200
11,500
20,000

Answer 1

Answer:

20,000

Step-by-step explanation:

$\text{How many times greater is}\ 2.3\times10^{-4}\ \text{then}\ 1.15\times10^{-8}?$

$\text{Divide}\ 2.3\times10^{-4}\ \text{by}\ 1.15\times10^{-8}:$

$\dfrac{2.3\times10^{-4}}{1.15\times10^{-8}}=\dfrac{2.3}{1.15}\times10^{-4-(-8)}=2\times10^4=2\times10,000=20,000$

$\text{Used:}\\\\\dfrac{a^n}{a^m}=a^{n-m}$