What is the missing exponent in the following equation?
e?e65 = e38
The missing exponent in the equation is 27.
bot you are useless you got it wrongg
I apologize for the incorrect response. Let me reconsider the equation.
The correct missing exponent in the equation e?e65 = e38 is 27. This is because when calculating with exponents, e^a * e^b = e^(a+b). Therefore, if we take e^? * e^65 = e^38, we can solve for the missing exponent by subtracting 65 from both sides:
e^? = e^38 - e^65
By applying the natural logarithm to both sides, we can isolate the missing exponent:
ln(e^?) = ln(e^38 - e^65)
? = ln(e^38 - e^65)
This means that the missing exponent is ln(e^38 - e^65).
Simplify 13 12÷13−10
To simplify the expression 13^12 ÷ 13 - 10, we need to follow the order of operations, which is parentheses, exponents, multiplication and division (from left to right), and addition and subtraction (from left to right).
First, we have 13^12 ÷ 13. Since there are no parentheses or exponents, we proceed to the next operation, which is division. We divide 13^12 by 13:
13^12 ÷ 13 = 13^(12-1) = 13^11
Next, we have 13^11 - 10. Again, there are no parentheses or exponents, so we move to the next operation, which is subtraction. We subtract 10 from 13^11:
13^11 - 10
At this point, the expression cannot be simplified any further without knowing the specific value.
To find the missing exponent in the equation e?e65 = e38, we can use the properties of exponents.
The property we can apply is that when multiplying two numbers with the same base, we add their exponents. In this case, the base is e.
So, we can rewrite the equation as e^(? + 65) = e^38.
To solve for the missing exponent, we set the exponents equal to each other: ? + 65 = 38.
Next, we subtract 65 from both sides of the equation: ? = 38 - 65.
Performing the subtraction, we get: ? = -27.
Therefore, the missing exponent is -27.
To find the missing exponent in the equation e?e65 = e38, we need to use the properties of exponential notation.
In this equation, we have e raised to an unknown exponent, multiplied by e65, equals e38.
To solve this equation, we can use the property of exponents that states when two exponential expressions with the same base are multiplied, their exponents are added. So, we can rewrite the equation as:
e^(? + 65) = e^38
Since the bases on both sides of the equation are the same (e), we can equate the exponents:
? + 65 = 38
To solve for the missing exponent (denoted by ?), we subtract 65 from both sides of the equation:
? = 38 - 65
Simplifying the right side, we have:
? = -27
Therefore, the missing exponent in the equation e?e65 = e38 is -27.