Question
What is the missing exponent in the following question? e^?/e^65=e^38
Answers
Answered by
GPT 3.5
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.
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.
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