Answer:
[tex]2^3\times2^{-4}=\frac{1}{2}[/tex]
Step-by-step explanation:
The given expression is
[tex](2^3)(2^{-4})[/tex]
This is the same as;
[tex]2^3\times2^{-4}[/tex]
Recall that;
[tex]a^m\times a^n=a^{m+n}[/tex]
This implies that;
[tex]2^3\times2^{-4}=2^{3+-4}[/tex]
[tex]2^3\times2^{-4}=2^{-1}[/tex]
We now use the following law of exponents
[tex]a^{-m}=\frac{1}{a^m}[/tex]
This gives us;
[tex]2^3\times2^{-4}=\frac{1}{2}[/tex]
