Question

Question

Apply the Properties of Integer Exponents to generate equivalent expressions to 2 superscript2/2− superscript4
with only positive exponents, then solve the expression. Provide the solution as a whole number.(1 point)
222−4=

Answer 1

To simplify the expression \( 2^2 / 2^{-4} \) using the properties of integer exponents, we can apply the following property:

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

In this case, we have \( a = 2 \), \( m = 2 \), and \( n = -4 \). So, we can write:

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

Now, to find \( 2^6 \):

\[ 2^6 = 64 \]

Thus, the final answer is:

\[ \boxed{64} \]