use the Properties of Integer Exponents to generate equivalent expressions to 2^2/2^−4 with only positive exponents, then solve the expression. Provide the solution as a whole number,

Answer 1

To generate an equivalent expression with only positive exponents, we can use the property of exponents that states:

\[a^m/a^n = a^{m-n}\]

Applying this property to \(2^2/2^{-4}\), we have:

\(2^2/2^{-4} = 2^{2-(-4)} = 2^{2+4} = 2^6\)

Now, we can solve the expression \(2^6\) to obtain the solution as a whole number:

\(2^6 = 2 × 2 × 2 × 2 × 2 × 2 = 64\)

Therefore, the solution to the expression is 64.