Question

What is the missing exponent in the following equation?
e?e65 = e38
help me answer it

Answer 1

no and more simpler

Answer 2

no -27 is wrong

Answer 3

To solve for the missing exponent in the equation \( e^? \cdot e^{65} = e^{38} \), we can use the property of exponents that states \( e^a \cdot e^b = e^{a+b} \).

Using this property, we can rewrite the left side of the equation:

\[
e^? \cdot e^{65} = e^{? + 65}
\]

Now we can set the exponents equal to each other from both sides of the equation:

\[
? + 65 = 38
\]

To find \( ? \), we can subtract 65 from both sides:

\[
? = 38 - 65
\]

Calculating this gives:

\[
? = -27
\]

Thus, the missing exponent is \( -27 \).

Answer 4

Sure! Let's solve the equation step by step in a simpler way.

You have:

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

We know that when we multiply exponents with the same base, we can add the exponents:

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

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

\[
? + 65 = 38
\]

Now, to find \( ? \), subtract 65 from both sides:

\[
? = 38 - 65
\]

Calculating that gives:

\[
? = -27
\]

So, the missing exponent is \( -27 \).

Answer 5

Let's go through it again step by step to pinpoint any mistakes and present it as simply as possible.

You have the equation:

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

Using the property of exponents, \( e^a \cdot e^b = e^{a+b} \), we can rewrite the left side:

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

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

\[
? + 65 = 38
\]

Now, to solve for \( ? \):

1. Subtract 65 from both sides:
\[
? = 38 - 65
\]

2. Performing the computation:
\[
? = -27
\]

This indicates that \( -27 \) is the correct calculation based on the equation provided.

If this still seems wrong, could you please clarify which part seems off or if there's additional context?