Find the value of the
`(-2)^(3)xx5^(2)`

Answer

To find the value of the expression \((-2)^{3} \times 5^{2}\), we can break it down step by step.

### Step 1: Calculate \((-2)^{3}\)
The expression \((-2)^{3}\) means we need to multiply \(-2\) by itself 3 times:
\[ (-2) \times (-2) \times (-2) \]
Calculating this:
1. First, multiply the first two \(-2\):
\[ (-2) \times (-2) = 4 \]
2. Now, multiply the result by the third \(-2\):
\[ 4 \times (-2) = -8 \]
So, \((-2)^{3} = -8\).

### Step 2: Calculate \(5^{2}\)
The expression \(5^{2}\) means we need to multiply \(5\) by itself 2 times:
\[ 5 \times 5 \]
Calculating this:
\[ 5 \times 5 = 25 \]
So, \(5^{2} = 25\).

### Step 3: Multiply the results from Step 1 and Step 2
Now we need to multiply the results from the previous steps:
\[ (-8) \times 25 \]
Calculating this:
\[ -8 \times 25 = -200 \]

### Final Answer
Thus, the value of the expression \((-2)^{3} \times 5^{2}\) is \(-200\).

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