2 to the 6 power - 2 to the 4 power / 2 to the 2 power

Answer 1

Let's simplify the expression \( 2^6 - \frac{2^4}{2^2} \).

First, we can simplify \(\frac{2^4}{2^2}\) using the properties of exponents:

\[ \frac{2^4}{2^2} = 2^{4-2} = 2^2 \]

Now, substitute \(2^2\) back into the original expression:

\[ 2^6 - 2^2 \]

Next, we calculate \(2^6\) and \(2^2\):

\[ 2^6 = 64 \] \[ 2^2 = 4 \]

Now we can perform the subtraction:

\[ 64 - 4 = 60 \]

Thus, the final result is:

\[ \boxed{60} \]