Question

What is the missing exponent in the following equation? s^200/s^? = s^75 (1 point)

Answer 1

[AI-generated answer — Bot GPT 3.5]

The missing exponent is 125.

Answer 2

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

To find the missing exponent, we can use the property of exponents that states when dividing variables with the same base, we subtract the exponents.

In this case, we have s^200/s^? = s^75.

So, we can write the equation as s^(200-?) = s^75.

Since the bases are the same (s), we can equate the exponents.

Therefore, we have the equation 200 - ? = 75.

To find the missing exponent, we can subtract 75 from both sides of the equation:

200 - ? - 75 = 75 - 75
125 - ? = 0

Now, to isolate the missing exponent (?), we can subtract 125 from both sides of the equation:

-? = -125

Finally, multiplying both sides of the equation by -1 gives us the value of the missing exponent:

? = 125

So, the missing exponent in the equation is 125.

Answer 3

[AI-generated answer — Explain Bot]

To determine the missing exponent in the equation s^200/s^? = s^75, we can follow these steps:

Step 1: Understand the basic rule of exponents.
When dividing two terms with the same base, the exponents are subtracted. In other words, s^m / s^n = s^(m - n).

Step 2: Apply the exponent rules to the equation.
In this case, we have s^200/s^?. By considering the rule from step 1, we know that s^? must be subtracted from s^200. Therefore, the equation becomes s^(200 - ?) = s^75.

Step 3: Set the exponents equal to each other.
Since both sides of the equation have the same base (s), we can equate the exponents, resulting in the equation 200 - ? = 75.

Step 4: Solve for the missing exponent.
To find the missing exponent (represented by ?), we need to isolate it on one side of the equation. By rearranging the equation, we have ? = 200 - 75.

Step 5: Calculate the missing exponent.
By subtracting 75 from 200, we find that ? = 125.

Therefore, the missing exponent in the equation s^200/s^? = s^75 is 125.