84.2k views
4 votes
What is the missing exponent in the following equation? e^?/e^(65) =e^(38) a. 100

b. 75
c. 103
d. 50

User Jan Sila
by
8.0k points

1 Answer

1 vote

Final answer:

The missing exponent in the equation is found by subtracting the exponent in the denominator from the exponent in the numerator; the correct answer is 103.

So, the correct answer is C. 103.

Step-by-step explanation:

The missing exponent in the equation
e^(?)/e^(65) = e^(38) can be found by using the properties of exponents.

First, let’s simplify the left-hand side of the equation:


e^(?)/e^(65) = e^(?-65)

Now, we can set up an equation:


e^(?-65) = e^(38)

By comparing the exponents on both sides, we can determine that:

? - 65 = 38.

Solving for ?, we get:

? = 38 + 65

? = 103

So, the correct answer is C. 103.

User Benathon
by
7.3k points