Answer:
[tex]2^8[/tex]
Step-by-step explanation:
To find the quotient of:
[tex]\frac{2^4}{2^{-4}}[/tex]
Solution:
We will apply quotient rule of exponents to find the quotient of the given expression.
By Quotient rule: [tex]\frac{a^x}{a^y}=a^{(x-y)}[/tex]
Thus the quotient for the expression can be given as:
[tex]\frac{2^4}{2^{-4}}[/tex]
⇒ [tex]2^{(4-(-4))}[/tex]
⇒ [tex]2^{(4+4)}[/tex]
⇒ [tex]2^8[/tex] (Answer)
