What is the missing exponent in the following equation?
s⁵⁰⁰/s^? = s¹⁷⁵
Note: only type the exponent in the box, do not include any variables.
The missing exponent is 325.
Can you elaborate on how you got the answer.
Sure! In this equation, we have s⁵⁰⁰/s^? = s¹⁷⁵.
To solve for the missing exponent, we can use the rule of exponentiation which states that when we divide two terms with the same base, we subtract the exponents.
In this case, we have s⁵⁰⁰/s^? = s¹⁷⁵.
So, by applying the exponent rule, we subtract the exponents:
500 - ? = 175.
To find the missing exponent, we can rearrange the equation:
500 - 175 = ?.
Therefore, the missing exponent is 325.
To find the missing exponent in the equation s⁵⁰⁰/s^? = s¹⁷⁵, we can apply the laws of exponents.
When dividing variables with the same base, we subtract their exponents. Thus, we have:
s⁵⁰⁰ / s^? = s¹⁷⁵
To simplify the equation, we subtract the exponents of s:
s^(500 - ?) = s¹⁷⁵
Since the bases are the same on both sides (s), the exponents must be equal. Therefore, we set the exponents equal to each other:
500 - ? = 175
To isolate the missing exponent, we can subtract 500 from both sides of the equation:
-? = 175 - 500
Simplifying further, we have:
-? = -325
Lastly, we multiply both sides of the equation by -1 to solve for ?:
-1 * -? = -1 * (-325)
? = 325
Hence, the missing exponent in the equation s⁵⁰⁰/s^? = s¹⁷⁵ is 325.
To find the missing exponent in the equation, we need to apply the exponent rules. In this case, we have the equation:
s⁵⁰⁰/s^? = s¹⁷⁵
To solve for the missing exponent, we can use the property of dividing exponential terms with the same base. According to the rule a^m/a^n = a^(m-n), we can subtract the exponents:
500 - ? = 175
Now we can solve for the missing exponent by performing the subtraction:
500 - ? = 175
-? = 175 - 500
-? = -325
To solve for ? (the missing exponent), we need to multiply both sides of the equation by -1 to isolate ?:
-1 * -? = -1 * -325
? = 325
Therefore, the missing exponent in the equation is 325.