4³:2⁶

To solve the expression \( 4^3 : 2^6 \), we can first simplify each term. 1. Rewrite \( 4 \) as \( 2^2 \): \[ 4^3 = (2^2)^3 = 2^{2 \times 3} = 2^6 \] 2. Now we can replace \( 4^3 \) in the expression: \[ 4^3 : 2^6 = 2^6 : 2^6 \] 3. When dividing two powers with the same base, we subtract the exponents: \[ 2^6 : 2^6 = 2^{6-6} = 2^0 = 1 \] Thus, the final result is: \[ \boxed{1} \]