Answer:
(A)[tex]4X10^{12}[/tex]
Step-by-step explanation:
Given the quotient:
[tex]\dfrac{6*10^8}{1.5*10^{-4}}[/tex]
To evaluate, we first separate the given expression as follows.
[tex]=\dfrac{6}{1.5}X\dfrac{10^8}{10^{-4}}[/tex]
Next, we apply the division law of indices to the powers of 10.
Division Law of Indices: [tex]\frac{a^x}{a^y}=a^{x-y}[/tex]
[tex]=4X10^{8-(-4)}\\=4X10^{8+4}\\=4X10^{12}[/tex]
Therefore, our quotient is [tex]4X10^{12}[/tex].
The correct answer is A.
