Apply the Properties of integer exponents to generate an equivalent expression to 2^2/2^(-4) with only positive exponents, then solve the expression. As a whole number.

Answer 1

First, let's apply the property of exponents that states: for any nonzero number a, a^m ÷ a^n = a^(m-n).

Using this property, we can simplify the expression 2^2 ÷ 2^(-4) as follows:

2^2 ÷ 2^(-4) = 2^(2-(-4))

Now, let's simplify the exponent by subtracting the exponents:

2^(2-(-4)) = 2^(2+4)

2^(2+4) = 2^6

Therefore, the equivalent expression with only positive exponents is 2^6.

To solve this expression, simply calculate 2^6:

2^6 = 2 × 2 × 2 × 2 × 2 × 2 = 64

So, the whole number solution to the expression is 64.