Question

Apply 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.(1 point)
2^2/2^−=

Answer 1

To generate equivalent expressions with only positive exponents, we can use the following properties of integer exponents:

1) Product of Powers: a^m * a^n = a^(m + n)
2) Quotient of Powers: a^m / a^n = a^(m - n)
3) Power of a Power: (a^m)^n = a^(m * n)

Using these properties, we can rearrange the given expression:

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

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

To solve this expression, we simply calculate 2^6:

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

Therefore, the solution to the expression is 64.