`64xx16div256=(4)^((?-3))`

Options

A. 1
B. 4
C. 5
D. 3

Explanation

To solve the equation \( 64 \times 16 \div 256 = 4^{(?-3)} \), we will simplify the left-hand side step by step and then solve for the question mark.

### Step 1: Simplify \( 64 \times 16 \)

First, we calculate \( 64 \times 16 \):
\[ 64 \times 16 = 1024 \]

### Step 2: Divide by 256

Next, we divide the result by 256:
\[ 1024 \div 256 = 4 \]

### Step 3: Set up the equation

Now we have:
\[ 4 = 4^{(?-3)} \]

### Step 4: Equate the exponents

Since the bases are the same (both are 4), we can equate the exponents:
\[ 1 = ? - 3 \]

### Step 5: Solve for the question mark

Now, we solve for \( ? \):
\[ ? = 1 + 3 = 4 \]

### Final Answer

Thus, the value of the question mark is:
\[ ? = 4 \]

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