Evaluate : `(-3)^(6)xx(-2)^(6)`

Answer

To evaluate the expression \((-3)^{6} \times (-2)^{6}\), we can follow these steps:

### Step 1: Identify the bases and the exponent
The bases are \(-3\) and \(-2\), and the exponent is \(6\).

### Step 2: Apply the property of exponents
We can use the property of exponents which states that if two numbers are raised to the same power, we can multiply the bases together and raise the result to that power:
\[ a^{m} \times b^{m} = (a \times b)^{m} \]
In our case, we can rewrite the expression as:
\[ (-3)^{6} \times (-2)^{6} = [(-3) \times (-2)]^{6} \]

### Step 3: Multiply the bases
Now, we calculate \((-3) \times (-2)\):
\[ (-3) \times (-2) = 6 \]
(Note: The product of two negative numbers is positive.)

### Step 4: Raise the result to the power of 6
Now we raise \(6\) to the power of \(6\):
\[ 6^{6} \]

### Step 5: Calculate \(6^{6}\)
To find \(6^{6}\), we can calculate it step by step:
\[ 6^{6} = 6 \times 6 \times 6 \times 6 \times 6 \times 6 \]
Calculating this gives:
\[ 6^{2} = 36 \]
\[ 6^{3} = 6 \times 36 = 216 \]
\[ 6^{4} = 6 \times 216 = 1296 \]
\[ 6^{5} = 6 \times 1296 = 7776 \]
\[ 6^{6} = 6 \times 7776 = 46656 \]

### Final Answer
Thus, the value of \((-3)^{6} \times (-2)^{6}\) is:
\[ \boxed{46656} \]