Question

The value of the equation in the photo?

Answer 1

The value of
`\( x \)` in the equation
`\((-3)^(-5) - 1 * x\) is \(243\)`, making the correct answer a. -243.

The value of the equation in the photo is -243

Here's how to solve it:

1. Let's break down the equation:

`(-3)^(-5)`: This means negative three to the power of negative five. In other words, it's one over negative three raised to the fifth power.

1/x: This means one divided by x.

2. So the equation is asking:

`(-3)^(-5) = 1/x`

Which means:

One over negative three to the fifth power equals one divided by x.

3. To solve for x, we need to get all the unknowns on one side of the equation.

4. Here's how we can do that:

Multiply both sides of the equation by x:

`x * (-3)^(-5) = 1`

This gives us:

`x = 1 / (-3)^(-5)`

5. Now, let's calculate the value of (-3)^-5:

`(-3)^(-5) = 1 / (-3)^5`

`(-3)^(-5) = 1 / -243`

`(-3)^(-5) = -1/243`

6. Substitute this value back into the equation:

x = 1 / (-1/243)

x = -1 * (-243)

x = 243

Therefore, the value of x is -243

So the answer is a. -243