2^3*2^-4/2^-3

2^3*2^-4/2^-3

I think you might mean this.....???

2³ 2^-4 / 2^-3        So, by a property of exponents, a^m * aⁿ = a ^(m+n)

And so the numerator becomes 2^-1

And we have

2^-1/ 2^-3    And when we have a negative exponent in a fraction, we can "bring it to the other side" and make it a positive. So we have

2³ / 2¹  =

8 / 2 =

4

And that's it......