Question

What is the missing exponent in the following equation?
e ?/e 65 = e 38

Answer 1

To solve for the missing exponent in the equation:

\[
e^{?}/e^{65} = e^{38}
\]

we can rewrite the left side using the properties of exponents. Specifically, we can use the property that states:

\[
\frac{a^m}{a^n} = a^{m-n}
\]

Applying this property, we have:

\[
e^{? - 65} = e^{38}
\]

Since the bases (e) are the same, we can set the exponents equal to each other:

\[
? - 65 = 38
\]

Now, we can solve for the missing exponent \( ? \):

\[
? = 38 + 65
\]
\[
? = 103
\]

Therefore, the missing exponent is:

\[
\boxed{103}
\]