Question

How many times larger is 4 x 1012 than 8 x 107? A) 2 x 104 B) 2 x 105 C) 5 x 104 D) 5 x 105

Answer 1

4 x 101^2
------------- = 0.5 x 10^5 = 5 x 10^4
8 x 10^7

answer is C.

C) 5 x 10^4

Answer 2

Answer: The correct option is C.

Step-by-step explanation:

We have to find that how many times larger is
`4* (10)^(12)` than
`8* (10)^(7)`.

Let
`4* (10)^(12)` is k times larger than
`8* (10)^(7)`.

`4* (10)^(12)=k8* (10)^(7)`

`k=(4* (10)^(12))/(8* (10)^(7))`

`k=(0.5* (10)^(12))/((10)^(7))`

`k=(5* (10)^(12))/(10*(10)^(7))`

Use exponent rule
`a^m* a^n=a^(m+n)`

`k=(5* (10)^(12))/((10)^(8))`

Use exponent rule
`(a^m)/(a^n)=a^(m-n)`

`k=5* (10)^(12-8)`

`k=5* (10)^(4)`

Therefore, the option C is correct.