Question

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) 2^2/2−4=

Answer 1

To simplify the expression \( \frac{2^2}{2^{-4}} \) using the properties of integer exponents:

1. Recall the property of exponents that states \( \frac{a^m}{a^n} = a^{m-n} \).
2. Apply this property here by rewriting \( \frac{2^2}{2^{-4}} \) as:
\[
2^{2 - (-4)} = 2^{2 + 4} = 2^6
\]

Now, calculate \( 2^6 \):
\[
2^6 = 64
\]

Therefore, the expression \( \frac{2^2}{2^{-4}} \) simplifies to \( 64 \) as a whole number.

So, the final answer is:
\[
\boxed{64}
\]