Question

Apply the properties of integer exponents to generate equivalent expression 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 that states a^(-b) is equal to 1/a^b.

Using this property, we can rewrite the expression as follows:

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

Now, we can solve the expression:

2^6 = 2 * 2 * 2 * 2 * 2 * 2 = 64

Therefore, the solution to the expression is 64.