What is the missing exponent in the following question? e^?/e^65=e^38
In order to solve for the missing exponent, we need to make use of the property of exponents that states that when dividing two numbers with the same base, we subtract their exponents.
Applying this property to the equation e^?/e^65=e^38, we have:
e^(? - 65) = e^38
Since the bases (e) are the same on both sides of the equation, we can equate the exponents:
? - 65 = 38
To solve for the missing exponent, we can add 65 to both sides of the equation:
? = 38 + 65
Simplifying, we find:
? = 103
Therefore, the missing exponent is 103.
To find the missing exponent in the equation e^?/e^65=e^38, we can use the rule of exponentiation which states that when you divide two powers with the same base, you subtract their exponents.
In this case, e^?/e^65 can be rewritten as e^(?-65).
Using the rule of exponentiation, we know that 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 the missing exponent.
? = 38 + 65.
Therefore, the missing exponent is 103.