What is the missing exponent in the following equation?
e^?/e^65 = e^38
e^?/e^65 = e^38
By using the exponent rule that states e^a / e^b = e^(a - b), we can rewrite the equation as:
e^(? - 65) = e^38
Now, since the bases (e) are equal, we can equate the exponents:
? - 65 = 38
To solve for ?, we can add 65 to both sides:
? = 38 + 65
? = 103
Therefore, the missing exponent is 103.
Simplify 13^12÷13^−10
When dividing two numbers with the same base raised to different exponents, we can use the exponent rule that states a^b / a^c = a^(b - c).
So, 13^12 ÷ 13^(-10) simplifies to 13^(12 - (-10)).
12 - (-10) can be rewritten as 12 + 10, which equals 22.
Therefore, 13^12 ÷ 13^(-10) is equal to 13^22.
Simplify 13^12/13^−10
When dividing two numbers with the same base raised to different exponents, we can use the exponent rule that states a^b / a^c = a^(b - c).
So, 13^12 ÷ 13^(-10) simplifies to 13^(12 - (-10)).
12 - (-10) can be rewritten as 12 + 10, which equals 22.
Therefore, 13^12 ÷ 13^(-10) is equal to 13^22.
Simplify 13^12÷13−^10
To simplify 13^12 ÷ 13^(-10), we can use the exponent rule that states a^b ÷ a^c = a^(b - c).
So, we subtract the exponent of the denominator from the exponent of the numerator:
12 - (-10) = 12 + 10 = 22
Therefore, 13^12 ÷ 13^(-10) simplifies to 13^22.