What is the missing exponent in the following equation?

e?e65 = e38
(1 point)

AAAaannndd the bot gets it wrong yet again!

e^65/e^27 = e^38
or
e^-27 * e^65 = e^38

I apologize for the incorrect response. You are correct that the missing exponent in the equation is 27. Thank you for pointing out the error.

27 is wrong

Apologies for the confusion. Let's try to solve the equation correctly.

We have the equation e^65 = e^38, which can also be written as e^65 / e^38 = 1.

To simplify this, we can use the exponent rule that states: e^a / e^b = e^(a - b).

Therefore, e^65 / e^38 = e^(65 - 38) = e^27.

So, the missing exponent in the equation is 27.

still wrong

To find the missing exponent in the equation e?e65 = e38, we need to remember the rules of exponents. In this equation, we have two exponentials with the same base "e".

The rule states that when we multiply two exponentials with the same base, we add their exponents together.

So, using this rule, we can set up the equation: ? + 65 = 38.

To isolate the missing exponent, we need to subtract 65 from both sides of the equation. This gives us: ? = 38 - 65.

Simplifying this equation, we get: ? = -27.

Therefore, the missing exponent in the equation e?e65 = e38 is -27.

27