What is the missing exponent in the following equation?
e^?/e65 = e^38
(1 point)
The missing exponent in the equation is 103.
To find the missing exponent in the equation e^?/e^65 = e^38, we can start by using the properties of exponents.
First, we can rewrite the equation as e^? * e^-65 = e^38, using the rule that a/b can be written as a * b^-1.
Next, we can use another property of exponents: a^m * a^n = a^(m+n).
So in this case, e^? * e^-65 can be written as e^ (? - 65) = e^38.
To solve for the missing exponent '?', we can set the exponents equal to each other:
? - 65 = 38
Now we can solve for '?':
? = 38 + 65
? = 103
Therefore, the missing exponent in the equation is 103.