Divide :
`-70a^(3)` by `14a^(2)`

Answer

To divide \(-70a^{3}\) by \(14a^{2}\), we can follow these steps:

### Step 1: Write the expression
We need to divide \(-70a^{3}\) by \(14a^{2}\):
\[ \frac{-70a^{3}}{14a^{2}} \]

### Step 2: Separate the constants and variables
We can separate the constants and the variable parts:
\[ \frac{-70}{14} \cdot \frac{a^{3}}{a^{2}} \]

### Step 3: Divide the constants
Now, we divide the constants:
\[ \frac{-70}{14} = -5 \]

### Step 4: Divide the variables
Next, we divide the variable parts. When dividing like bases, we subtract the exponents:
\[ \frac{a^{3}}{a^{2}} = a^{3-2} = a^{1} = a \]

### Step 5: Combine the results
Now we combine the results from the constants and the variables:
\[ -5 \cdot a = -5a \]

### Final Answer
Thus, the result of dividing \(-70a^{3}\) by \(14a^{2}\) is:
\[ -5a \]

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