Simplify: `(-6)^(2)div(-6)^2`

Answer

To simplify the expression \((-6)^2 \div (-6)^2\), we can follow these steps:

### Step 1: Identify the expression
We have the expression \((-6)^2 \div (-6)^2\).

### Step 2: Apply the property of exponents
We know that when we divide two powers with the same base, we can subtract the exponents. The property states:
\[ \frac{a^m}{a^n} = a^{m-n} \]
In our case, the base \(a\) is \(-6\), and both exponents \(m\) and \(n\) are \(2\).

### Step 3: Substitute the values into the property
Using the property, we can rewrite the expression as:
\[ (-6)^{2-2} \]

### Step 4: Simplify the exponent
Now, simplify the exponent:
\[ 2 - 2 = 0 \]
So, we have:
\[ (-6)^0 \]

### Step 5: Evaluate the expression
According to the exponent rules, any non-zero number raised to the power of \(0\) is \(1\):
\[ (-6)^0 = 1 \]

### Final Answer
Thus, the simplified value of \((-6)^2 \div (-6)^2\) is:
\[ \boxed{1} \]

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