Evaluate :
` (-5) ^(3) `

Answer

To evaluate \((-5)^3\), we will follow these steps:

### Step-by-Step Solution:

1. **Identify the expression**: We start with the expression \((-5)^3\).

**Hint**: Remember that the exponent indicates how many times the base (in this case, \(-5\)) is multiplied by itself.

2. **Rewrite the expression**: We can express \((-5)^3\) as \((-1) \times (5)^3\). This helps us separate the negative sign from the base.

**Hint**: Breaking down the expression can make it easier to manage the negative sign and the positive base.

3. **Apply the exponent**: Now we can distribute the exponent to both parts:
\[ (-1)^3 \times (5)^3 \]

**Hint**: When you have a product, you can apply the exponent to each factor separately.

4. **Calculate \((-1)^3\)**: Since \(-1\) raised to an odd power remains \(-1\):
\[ (-1)^3 = -1 \]

**Hint**: Remember that \(-1\) raised to an odd exponent results in \(-1\).

5. **Calculate \(5^3\)**: Now calculate \(5^3\):
\[ 5^3 = 5 \times 5 \times 5 \]
First, calculate \(5 \times 5 = 25\), and then multiply \(25 \times 5 = 125\).

**Hint**: You can break down the multiplication into smaller steps for easier calculations.

6. **Combine the results**: Now, combine the results:
\[ (-1) \times (125) = -125 \]

**Hint**: Remember that multiplying a negative number by a positive number results in a negative number.

### Final Answer:
Thus, the value of \((-5)^3\) is \(-125\).