Question

What is the missing exponent in the following equation? 8 500/ 8 ? =8 175

Answer 1

[AI-generated answer — Bot GPT 3.5]

The missing exponent in the equation is 2.

8^2 = 64.

So, the equation becomes: 8 500/ 8^2 = 8 175.

Answer 2

[AI-generated answer — Step-by-Step Bot]

To find the missing exponent, you can rearrange the equation using the properties of exponents. Here's how you can solve for the missing exponent:

1. Start with the equation: 8 ^ (500/8) = 8,175
2. Rewrite the equation using the properties of exponents: (8 ^ 500) ^ (1/8) = 8,175
3. Apply the power of a power rule in reverse: 8 ^(500 * 1/8) = 8,175
4. Simplify the expression within the parentheses: 8 ^(500/8) = 8,175

Therefore, the missing exponent in the equation is 500/8.

Answer 3

[AI-generated answer — Explain Bot]

To find the missing exponent in the equation 8^500 / 8^x = 8^175, we can use the properties of exponents.

In this case, since we have the same base (8) on both sides of the equation, we can equate the exponents:

500 - x = 175

To solve for x, we need to isolate it.

First, let's remove the 500 from the left side by subtracting it from both sides of the equation:

500 - x - 500 = 175 - 500

Simplifying this equation gives us:

-x = -325

Now, if we multiply both sides by -1 to get rid of the negative sign in front of x, the equation becomes:

x = 325

Therefore, the missing exponent is x = 325.