What is the missing exponent in the following equation?
s⁵⁰⁰/s^? = s¹⁷⁵
Note: only type the exponent in the box, do not include any variable.
3 answers
The missing exponent is 325.
Can you further explain how you got the answer.
Certainly! In the given equation, we have:
s^500 / s^? = s^175
To simplify this equation, we need to apply the exponent rule for division. According to the rule, when we divide two terms with the same base, we subtract the exponents. In this case, we have:
s^(500 - ?) = s^175
To determine the value of the missing exponent, we should equate the exponents. So we have:
500 - ? = 175
To solve for ?, we can subtract 500 from both sides:
500 - 500 - ? = 175 - 500
-? = -325
Finally, we can multiply both sides by -1 to solve for ?:
-1 * -? = -1 * -325
? = 325
Therefore, the missing exponent in the equation is 325.
s^500 / s^? = s^175
To simplify this equation, we need to apply the exponent rule for division. According to the rule, when we divide two terms with the same base, we subtract the exponents. In this case, we have:
s^(500 - ?) = s^175
To determine the value of the missing exponent, we should equate the exponents. So we have:
500 - ? = 175
To solve for ?, we can subtract 500 from both sides:
500 - 500 - ? = 175 - 500
-? = -325
Finally, we can multiply both sides by -1 to solve for ?:
-1 * -? = -1 * -325
? = 325
Therefore, the missing exponent in the equation is 325.
3 answers