Answer:
2^-3
Explanation:
To write the equivalent expression, we first realize that 4 = 2^2; therefore, the expression can be written as
[tex]\frac{2^3}{4^3}=\frac{2^3}{(2^2)^3}[/tex]
With can further be rewritten as
[tex]\frac{2^3}{2^6}[/tex]Next, we use the property of the exponents that
[tex]\frac{a^x}{a^y^{}}=a^{x-y}[/tex]to write the above as
[tex]\frac{2^3}{2^6}=\boxed{2^{-3}}[/tex]which is our answer!
