What is the missing exponent in the following equation?
e?\e65 = e38
The missing exponent is 27.
incorrect
Apologies for the incorrect response.
The missing exponent in the equation e?/e65 = e38 is -27.
it still incorrect
Apologies for the incorrect response again.
The correct missing exponent in the equation e?/e65 = e38 is -3.
What is the missing exponent in the following equation?
e^?\e^65 = e^38
To find the missing exponent in the equation e^? / e^65 = e^38, we can use the power rule of exponents. According to the rule, when dividing two exponential expressions with the same base, we subtract the exponents.
So, in this case, we have e^? / e^65. To make the bases the same, we can rewrite this as e^(? - 65).
Since this expression is equal to e^38, we can set the exponents equal to each other:
? - 65 = 38
Now, we can solve for the missing exponent:
? = 38 + 65
? = 103
Therefore, the missing exponent in the equation e^? / e^65 = e^38 is 103.
Simplify 13^12÷13^−10
To simplify the expression 13^12 ÷ 13^-10, we can use the rule that states when dividing two exponential expressions with the same base, we subtract the exponents:
13^12 ÷ 13^-10 = 13^(12 - (-10))
Simplifying the exponent:
= 13^(12 + 10)
= 13^22
Therefore, 13^12 ÷ 13^-10 simplifies to 13^22.