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.
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.
To find the missing exponent in the given equation, we can use the rule of exponents. According to the rule, when we divide two powers with the same base, we subtract the exponents.
In this case, we are given:
s^500 / s^? = s^175
To find the missing exponent, we need to equate the exponents on both sides of the equation.
So, we can set up the following equation:
500 - ? = 175
To isolate the missing exponent, we can subtract 500 from both sides of the equation:
-? = 175 - 500
Simplifying further, we get:
-? = -325
Finally, to solve for the missing exponent, we multiply both sides of the equation by -1 to switch the sign:
? = 325
Therefore, the missing exponent in the equation s^500 / s^? = s^175 is 325.
To find the missing exponent in the given equation, we can use the exponent rules.
First, let's simplify the equation by applying the quotient rule for exponents. According to this rule, when we divide two terms with the same base, we subtract the exponents:
s^500 / s^? = s^175
Now, we can subtract the exponents on the left side of the equation:
s^(500 - ?) = s^175
Since the bases (s) are the same on both sides, the exponents must be equal. Therefore, we have the equation:
500 - ? = 175
To solve for the missing exponent ?, we need to isolate it on one side of the equation.
Subtracting 500 from both sides of the equation:
-? = 175 - 500
Simplifying:
-? = -325
We can solve for ? by multiplying both sides by -1:
-1 * -? = -1 * -325
This gives us:
? = 325
Therefore, the missing exponent in the equation is 325.