App;y the properties of integer exponents to generate equibalent expressions to 2^2/2^-4 with only positive exponents, then solve the expression. provide the solution as a whole number

Answer 1

To apply the properties of integer exponents, we can rewrite the expression 2^2/2^-4 as (2^2)(2^4).

Now, let's simplify this expression using the property of multiplying exponents with the same base.

(2^2)(2^4) = 2^(2+4) = 2^6

Therefore, the equivalent expression is 2^6.

To solve this expression, we calculate 2^6 = 2 × 2 × 2 × 2 × 2 × 2 = 64.

So, the solution is 64 as a whole number.