Question

Apply the properties of integer exponents to generate equivalent expressions to 2^2/2^-4 with only positive exponents, then solve the expression. Produce the solution as a whole number

Answer 1

[AI-generated answer — Bot GPT 3.5]

We can apply the property of integer exponents that states, when dividing two exponential expressions with the same base, we subtract the exponents. So, we have:

2^2 / 2^-4 = 2^(2-(-4)) = 2^6.

To further simplify, we can rewrite 2^6 with only positive exponents as:

2^6 = 2^(2*3) = (2^2)^3 = 4^3.

Finally, we solve the expression:

4^3 = 4 * 4 * 4 = 64.

Therefore, the solution is 64 as a whole number.