Simplify: `(-4)xx(-2)^4`

Answer

To simplify the expression `(-4) x (-2)^4`, we will follow these steps:

### Step 1: Evaluate the exponent
First, we need to evaluate `(-2)^4`. This means we multiply `-2` by itself 4 times.

\[ (-2)^4 = (-2) \times (-2) \times (-2) \times (-2) \]

### Step 2: Calculate the multiplication
Now, let's calculate it step by step:

1. Multiply the first two `-2`s:
\[ (-2) \times (-2) = 4 \]

2. Now multiply the result by the next `-2`:
\[ 4 \times (-2) = -8 \]

3. Finally, multiply by the last `-2`:
\[ -8 \times (-2) = 16 \]

So, `(-2)^4 = 16`.

### Step 3: Multiply by -4
Now we substitute back into the original expression:

\[ (-4) \times 16 \]

### Step 4: Calculate the final multiplication
Now we calculate `(-4) x 16`:

\[ (-4) \times 16 = -64 \]

### Final Answer
Thus, the simplified value of `(-4) x (-2)^4` is:

\[ \boxed{-64} \]