Answer:
A. [tex]\frac{4^{8} }{4^3}[/tex]
D. [tex]4^{5}[/tex]
Step-by-step explanation:
We have to calculate to find the result -
The expression is = 4^(-3)/4^(-8)
According to the indices rule, the power will be deducted if it is a division.
Therefore, [tex]\frac{a^{m} }{a^{n} }[/tex] = [tex]a^{m-n}[/tex]
Using that formula,
= [tex]4^{-3-(-8)}[/tex]
= [tex]4^{-3+8}[/tex]
= [tex]4^{5}[/tex]
Therefore, the answer choice D is the option, and the answer is 4^5.
Option A is also correct. Because we can find 4^5 with the help of that option.
[tex]\frac{4^8}{4^3}[/tex]
= [tex]4^{5}[/tex]
Alternative way,
4^(-3)/4^(-8)
= 4^(-3+8)
= 4^(8-3)
= 4^8/4^3
In the is way, we can also find option A is correct.
