Question

Divide (8.6 x 108) by (3.2 x 103). Express your answer in scientific notation.

A) 26875 x 10^6
B) 2.6875 x 10^5
C) 2.6875 x 10^11
D) 26.875 x 10^24

Answer 1

Answer:
`2.6875*10^(5)`

Explanation:

Given expression :
`(8.6*10^8)/(3.2*10^3)`

The division law of exponent says that
`a^m/ a^n=a^(m-n)`

Therefore,

`(8.6*10^8)/(3.2*10^3)\\\\=((8.6*10^8))/((3.2*10^3))\\\\=2.6875*10^(8-3)................\text{by law of exponent}\\\=2.6875*10^(5)`

Answer 2

I believe the given should be written as,
(8.6 x 10^8) ÷ (3.2 x 10^3)
By directly solving the expression, we obtain an answer of
268750
Which can also be written as 2.6875 x 10^5. Thus, the answer to this item is letter B.