Answer:
B) [tex](-2)^{3}[/tex]
Step-by-step explanation:
Given Quotient :
[tex]\frac{(-2)^4}{-2}[/tex]
We will use the property of exponents to simplify the quotient.
Applying quotient rule of exponents which can be given as:
[tex]\frac{a^x}{a^y}=a^{x-y}[/tex]
We have
[tex]\frac{(-2)^4}{-2}[/tex]
Any number without an exponent is known to have power of 1.
Thus the quotient can be written as:
⇒ [tex]\frac{(-2)^4}{(-2)^1}[/tex]
Applying quotient rule.
⇒ [tex](-2)^{4-1}[/tex]
⇒ [tex](-2)^{3}[/tex] (Answer)
