Question

What is the quotient?

(6 * 108) = (1.5 * 10-4)

4 x 1012

4 x 104

4 x 10-32

410-2

Answer 1

(A)
`4X10^(12)`

Explanation:

Given the quotient:

`(6*10^8)/(1.5*10^(-4))`

To evaluate, we first separate the given expression as follows.

`=(6)/(1.5)X(10^8)/(10^(-4))`

Next, we apply the division law of indices to the powers of 10.

Division Law of Indices:
`(a^x)/(a^y)=a^(x-y)`

`=4X10^(8-(-4))\\=4X10^(8+4)\\=4X10^(12)`

Therefore, our quotient is
`4X10^(12)`.

The correct answer is A.