s^500/s^? = s^175
To solve this equation, we need to find the missing exponent, denoted by "?".
We are given the equation s^500 / s^? = s^175.
Using the division properties of exponents, we subtract the exponents:
s^500 / s^? = s^(500-?) = s^175
Now we can set the exponents equal to each other:
500 - ? = 175
To solve for "?", we isolate "?":
-? = 175 - 500
-? = -325
Multiplying both sides by -1 to eliminate the negative sign:
? = 325
Therefore, the missing exponent in the equation is ? = 325.
To solve the equation s^500/s^? = s^175, we can use the properties of exponents.
First, we can rewrite the equation as s^(500-?) = s^175.
According to the properties of exponents, if two exponentials with the same base are equal, then the exponents must be equal as well. So we can set the exponents equal to each other:
500 - ? = 175.
Now, let's solve for ?.
We can do this by isolating ? on one side of the equation.
500 - ? = 175.
Subtracting 500 from both sides of the equation gives us:
-? = 175 - 500.
Simplifying the right side of the equation:
-? = -325.
To isolate ? on one side, we need to multiply both sides of the equation by -1, since multiplying by -1 will change the sign of ?.
(-1)(-?) = (-1)(-325).
This gives us:
? = 325.
Therefore, the value of ? is 325.