To solve this problem, we can use the following property of exponents:
```
a^m * a^n = a^(m + n)
```
In this case, we have:
```
-1^(-8) * x = -1^(-12)
```
where $x$ is the number we are trying to find.
Solving for $x$, we get:
```
x = -1^(-12) / -1^(-8)
```
```
x = -1^(-12 + 8)
```
```
x = -1^(-4)
```
Therefore, we should multiply -1 to the power of (-8) by **-1 to the power of 4** so that the product is equal to -1 to the power of (-12).
Another way to solve this problem is to consider the fact that -1 to the power of any even number is equal to 1. Therefore, -1 to the power of (-8) is equal to 1, and -1 to the power of (-12) is also equal to 1. Therefore, we need to multiply -1 to the power of (-8) by any number to get the same result.
One such number is -1 to the power of 4, as we already found.
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jyosiljaykrishnan
To find out by what number you should multiply (-1)^(-8) to equal (-1)^(-12), you can use the properties of exponents.
(-1)^(-8) represents the reciprocal of (-1)^8, which is 1. So, (-1)^(-8) = 1.
Now, you want to find a number x such that:
1 * x = (-1)^(-12)
Since anything multiplied by 1 is itself, you can conclude that x must be equal to (-1)^(-12).
(-1)^(-12) represents the reciprocal of (-1)^12, which is also 1. Therefore, x = 1.
So, you should multiply (-1)^(-8) by 1 to get (-1)^(-12), which is equal to 1.
Answers & Comments
[tex]\huge\color{Green}\mathfrak{Answer:}[/tex]
To solve this problem, we can use the following property of exponents:
```
a^m * a^n = a^(m + n)
```
In this case, we have:
```
-1^(-8) * x = -1^(-12)
```
where $x$ is the number we are trying to find.
Solving for $x$, we get:
```
x = -1^(-12) / -1^(-8)
```
```
x = -1^(-12 + 8)
```
```
x = -1^(-4)
```
Therefore, we should multiply -1 to the power of (-8) by **-1 to the power of 4** so that the product is equal to -1 to the power of (-12).
Another way to solve this problem is to consider the fact that -1 to the power of any even number is equal to 1. Therefore, -1 to the power of (-8) is equal to 1, and -1 to the power of (-12) is also equal to 1. Therefore, we need to multiply -1 to the power of (-8) by any number to get the same result.
One such number is -1 to the power of 4, as we already found.
(-1)^(-8) represents the reciprocal of (-1)^8, which is 1. So, (-1)^(-8) = 1.
Now, you want to find a number x such that:
1 * x = (-1)^(-12)
Since anything multiplied by 1 is itself, you can conclude that x must be equal to (-1)^(-12).
(-1)^(-12) represents the reciprocal of (-1)^12, which is also 1. Therefore, x = 1.
So, you should multiply (-1)^(-8) by 1 to get (-1)^(-12), which is equal to 1.
I hope this helps please mark this brainliest