Apply the Properties of Integer Exponents to generate equivalent expressions to 2^2/2^−4

Question

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, we can use the following property:

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

Applying this property to the given expression:

\[ \frac{2^2}{2^{-4}} = 2^{2 - (-4)} = 2^{2 + 4} = 2^6 \]

Now, we can solve for \( 2^6 \):

\[ 2^6 = 64 \]

Thus, the solution is:

\[ \boxed{64} \]