Evaluate
i `(-6)xx(-15)xx(-5)`
ii `(-8) xx (-5) xx 9`
iii `9xx(-12)xx10`
vi `(-75) xx 8`
v `(-5) xx (-5) xx (-5)`............. taken 5 times
vi `(-1) xx (-1) xx (-1) xx`...........taken 25 times

Answer

Let's evaluate the given expressions step by step.

### i. Evaluate `(-6) x (-15) x (-5)`

1. **Multiply the first two numbers**:
\[ (-6) \times (-15) = 90 \quad (\text{since } - \times - = +) \]

2. **Now multiply the result by the third number**:
\[ 90 \times (-5) = -450 \quad (\text{since } + \times - = -) \]

**Final Answer**: \(-450\)

### ii. Evaluate `(-8) x (-5) x 9`

1. **Multiply the first two numbers**:
\[ (-8) \times (-5) = 40 \quad (\text{since } - \times - = +) \]

2. **Now multiply the result by 9**:
\[ 40 \times 9 = 360 \quad (\text{since } + \times + = +) \]

**Final Answer**: \(360\)

### iii. Evaluate `9 x (-12) x 10`

1. **Multiply the first two numbers**:
\[ 9 \times (-12) = -108 \quad (\text{since } + \times - = -) \]

2. **Now multiply the result by 10**:
\[ -108 \times 10 = -1080 \quad (\text{since } - \times + = -) \]

**Final Answer**: \(-1080\)

### iv. Evaluate `(-75) x 8`

1. **Multiply the two numbers**:
\[ (-75) \times 8 = -600 \quad (\text{since } - \times + = -) \]

**Final Answer**: \(-600\)

### v. Evaluate `(-5) x (-5) x (-5) x (-5) x (-5)`

1. **Multiply the first two numbers**:
\[ (-5) \times (-5) = 25 \quad (\text{since } - \times - = +) \]

2. **Multiply the result by the next -5**:
\[ 25 \times (-5) = -125 \quad (\text{since } + \times - = -) \]

3. **Multiply the result by the next -5**:
\[ -125 \times (-5) = 625 \quad (\text{since } - \times - = +) \]

4. **Multiply the result by the last -5**:
\[ 625 \times (-5) = -3125 \quad (\text{since } + \times - = -) \]

**Final Answer**: \(-3125\)

### vi. Evaluate `(-1) x (-1) x (-1) x ...` (25 times)

1. **Since there are 25 multiplications of -1**:
- An odd number of negative signs will result in a negative product.
- Therefore, the result will be \(-1\).

**Final Answer**: \(-1\)

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