What is the missing exponent in the following equation?
e?/e65 = e38
The missing exponent in the equation is -27.
To find the missing exponent in the equation e?/e65 = e38, we can use the property of division with the same base: when dividing exponential expressions with the same base, subtract the exponents.
In this case, we have e?/e65 = e38.
Since the base is e, we subtract the exponent of e65 from the exponent of e? to get e? - e65 = e38.
To solve for the missing exponent, we can add e65 to both sides of the equation:
e? - e65 + e65 = e38 + e65.
This simplifies to e? = e103.
Therefore, the missing exponent in the equation is 103.