Find the cube - roots of :
`-64xx-125`

Answer

To find the cube roots of \(-64\) and \(-125\), we can follow these steps:

### Step 1: Identify the cube roots of the individual numbers
First, we need to express \(-64\) and \(-125\) in terms of their cube roots.

- The number \(-64\) can be expressed as \(-4^3\) because:
\[ -64 = -4 \times -4 \times -4 = -4^3 \]

- The number \(-125\) can be expressed as \(-5^3\) because:
\[ -125 = -5 \times -5 \times -5 = -5^3 \]

### Step 2: Combine the cube roots
Now, we can combine these two expressions:
\[ -64 \times -125 = (-4^3) \times (-5^3) \]

### Step 3: Use the property of cube roots
Using the property of cube roots, we can write:
\[ (-4^3) \times (-5^3) = (-4 \times -5)^3 \]

### Step 4: Calculate the product
Now, calculate the product of \(-4\) and \(-5\):
\[ -4 \times -5 = 20 \]

### Step 5: Find the cube root
Thus, the cube root of \(-64 \times -125\) is:
\[ \sqrt[3]{(-64) \times (-125)} = \sqrt[3]{20^3} = 20 \]

### Final Answer
The cube root of \(-64 \times -125\) is \(20\).

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