What is the missing exponent in the following equation?
e^?/e^65 = e^38
To solve the equation, we can use the property of exponents that states dividing two exponential expressions with the same base is equal to subtracting their exponents.
So, e^?/e^65 = e^38 can be rewritten as e^(? - 65) = e^38.
In order for two exponential expressions with the same base to be equal, their exponents must be equal.
Therefore, ? - 65 = 38.
Adding 65 to both sides of the equation, we get ? = 38 + 65.
Therefore, the missing exponent is ? = 103.
Simplify 13^12 ÷ 13^-10 (1 point)
When dividing two exponential expressions with the same base, we can subtract their exponents.
So, 13^12 ÷ 13^(-10) can be rewritten as 13^(12 - (-10)).
Simplifying the exponents, we get 13^(12 + 10).
This is equal to 13^22.
Simplity 4^13 •/• 3^-5
When multiplying two exponential expressions with the same base, we can add their exponents.
So, 4^13 ÷ 3^-5 can be rewritten as 4^13 • 3^5.
Simplifying the exponents, we get 4^13 • 3^5.
Wrong
Apologies for the mistake.
To simplify 4^13 ÷ 3^(-5), we can rewrite it as: (4^13) / (1/3^5).
Using the rule that a^(-b) = 1 / (a^b), we can rewrite the expression as: (4^13) * (3^5).
Simplifying further, we have: (2^2)^13 * 3^5 = 2^26 * 3^5.
We cannot simplify this expression further, since the bases are different.