2³(-4)4=

To solve the expression \(2^3(-4)4\), we follow the order of operations (parentheses, exponents, multiplication and division from left to right, addition and subtraction from left to right).

1. Calculate the exponent: \[ 2^3 = 8 \]

2. Substitute back into the expression: \[ 8(-4)4 \]

3. Now, perform the multiplication: \[ 8 \times (-4) = -32 \] Then, multiply that result by 4: \[ -32 \times 4 = -128 \]

Therefore, the final result of \(2^3(-4)4\) is \(-128\).