what is the missing exponent in the following question
s^500/s^? = s^175
The missing exponent is 325.
Explanation:
To divide two exponential terms with the same base, you subtract the exponents.
In this case, we have s^500/s^? = s^175.
To find the missing exponent, we subtract the exponent of the denominator from the exponent of the numerator.
So the missing exponent is 500 - ? = 175.
By solving this equation, ? can be determined to be 325.
To determine the missing exponent in the equation s^500/s^? = s^175, we can use the rule of exponents that states, when dividing two terms with the same base, we subtract the exponents.
So, in this equation, we can subtract the exponents to get:
s^(500-?) = s^175
Now, to solve for the missing exponent, we need to equate the exponents:
500 - ? = 175
To find the value of ?, we subtract 175 from both sides of the equation:
500 - 175 = ?
This simplifies to:
325 = ?
Therefore, the missing exponent is 325.
To find the missing exponent in the equation s^500/s^? = s^175, we can use the properties of exponents.
First, let's simplify the left side of the equation. When dividing terms with the same base, you subtract the exponents. Therefore, s^500/s^? can be written as s^(500 - ?).
Now we can rewrite the equation as s^(500 - ?) = s^175.
For the two sides of the equation to be equal, the exponents must be the same. Therefore, we have the equation 500 - ? = 175.
To solve for the missing exponent, we need to isolate the variable "?". We can do this by manipulating the equation.
Let's subtract 500 from both sides of the equation:
500 - ? - 500 = 175 - 500
-? = -325
To isolate "?", we multiply both sides of the equation by -1:
-1 * (-?) = -1 * (-325)
? = 325
Therefore, the missing exponent is 325.