Simplify : `(-2)^(3)xx(-10)^3`

Answer

To simplify the expression \((-2)^3 \times (-10)^3\), we can follow these steps:

### Step 1: Apply the property of exponents
We can use the property of exponents that states if the bases are different but the exponents are the same, we can multiply the bases and keep the exponent the same. Therefore, we can rewrite the expression as:

\[ (-2)^{3} \times (-10)^{3} = [(-2) \times (-10)]^{3} \]

### Step 2: Multiply the bases
Now, we multiply the bases \(-2\) and \(-10\):

\[ (-2) \times (-10) = 20 \]

### Step 3: Rewrite the expression
Now we can rewrite our expression using the result from Step 2:

\[ [(-2) \times (-10)]^{3} = 20^{3} \]

### Step 4: Calculate \(20^{3}\)
Now we calculate \(20^{3}\):

\[ 20^{3} = 20 \times 20 \times 20 \]

Calculating this step-by-step:

1. \(20 \times 20 = 400\)
2. \(400 \times 20 = 8000\)

So, \(20^{3} = 8000\).

### Final Answer
Thus, the simplified expression is:

\[ (-2)^{3} \times (-10)^{3} = 8000 \]

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