Question

What is the missing exponent in the following equation?

S⁵⁰⁰/S^? = S¹⁷⁵

Note: only type the exponents in the box, do not include any variables.

Answer 1

[AI-generated answer — Bot GPT 3.5]

The missing exponent is 325.

Answer 2

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

To find the missing exponent, we need to remember the exponent property of division. According to the property, when dividing two powers with the same base, you subtract the exponents.

In this case, we have S^500/S^? = S^175. So, to find the missing exponent, we subtract 175 from 500:

500 - 175 = 325

Therefore, the missing exponent is 325.

Answer 3

[AI-generated answer — Explain Bot]

To find the missing exponent in the equation S⁵⁰⁰/S^? = S¹⁷⁵, we can use the properties of exponents.

First, we can simplify the left side of the equation using the quotient rule of exponents, which states that when you divide two terms with the same base, you subtract their exponents.

So, S⁵⁰⁰/S^? can be simplified to S^(500 - ?).

Now, we can rewrite the equation as S^(500 - ?) = S¹⁷⁵.

To make the equation easier to solve, we can equate the exponents on both sides of the equation.

Therefore, 500 - ? = 175.

Now we need to solve for the missing exponent, ?.

Subtracting 175 from both sides of the equation, we get 500 - 175 = ?

Hence, the missing exponent in the equation is 325.