Simplify `(256)^(3//4)`.

Answer

To simplify \( (256)^{\frac{3}{4}} \), we can follow these steps:

### Step 1: Rewrite 256 as a power of 4
We know that \( 256 = 4^4 \).

### Step 2: Substitute into the expression
Now we can rewrite the expression:
\[ (256)^{\frac{3}{4}} = (4^4)^{\frac{3}{4}} \]

### Step 3: Apply the power of a power rule
Using the rule \( (a^m)^n = a^{m \cdot n} \), we can simplify:
\[ (4^4)^{\frac{3}{4}} = 4^{4 \cdot \frac{3}{4}} \]

### Step 4: Simplify the exponent
Now, calculate the exponent:
\[ 4 \cdot \frac{3}{4} = 3 \]
Thus, we have:
\[ 4^{4 \cdot \frac{3}{4}} = 4^3 \]

### Step 5: Calculate \( 4^3 \)
Now we compute \( 4^3 \):
\[ 4^3 = 4 \times 4 \times 4 = 16 \times 4 = 64 \]

### Final Answer
Therefore, the simplified form of \( (256)^{\frac{3}{4}} \) is:
\[ \boxed{64} \]