Simplify : `(-3)^(2)xx(-5)^2`

Answer

To simplify the expression \((-3)^{2} \times (-5)^{2}\), we can follow these steps:

### Step 1: Calculate each exponent separately.
First, we will calculate \((-3)^{2}\) and \((-5)^{2}\).

\[ (-3)^{2} = (-3) \times (-3) = 9 \]

\[ (-5)^{2} = (-5) \times (-5) = 25 \]

### Step 2: Multiply the results from Step 1.
Now, we will multiply the results obtained in Step 1.

\[ 9 \times 25 \]

To calculate \(9 \times 25\), we can break it down:

\[ 9 \times 25 = 9 \times (20 + 5) = 9 \times 20 + 9 \times 5 \]

Calculating each part:

\[ 9 \times 20 = 180 \]
\[ 9 \times 5 = 45 \]

Now, add these two results together:

\[ 180 + 45 = 225 \]

### Final Answer:
Thus, the simplified result of \((-3)^{2} \times (-5)^{2}\) is:

\[ \boxed{225} \]

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