Simplify x^675/x^453
When dividing two exponential expressions with the same base, you subtract the exponents. Therefore, x^675 / x^453 simplifies to x^(675 - 453), which is x^222.
What is the missing exponent in the following equation?
e?/e^65 = e^38
The missing exponent can be found by subtracting the exponent of the denominator from the exponent of the numerator. Since the base is the same (e), the missing exponent is the difference between 65 and 38, which is:
e^(65 - 38) = e^27
that is incorrect
Apologies for the mistake. Let's correct it.
The equation e^? / e^65 = e^38 can be solved by subtracting the exponents. Since the base is the same (e), we have:
e^(? - 65) = e^38
To make the bases equal, we can set the exponents equal:
? - 65 = 38
Adding 65 to both sides:
? = 38 + 65
? = 103
Therefore, the missing exponent is 103.
Simplify 13^12÷13^−10
.(1 point)
When dividing two exponential expressions with the same base, you subtract the exponents. Therefore, 13^12 ÷ 13^(-10) simplifies to 13^(12 - (-10)), which is 13^(12 + 10).
13^(12 + 10) can be further simplified as:
13^22
Simplify 4^13÷3^−5
When dividing two exponential expressions with the same base, you subtract the exponents. Therefore, 4^13 ÷ 3^(-5) simplifies to 4^13 * 3^(5).
Now we have the product of two exponential expressions with different bases. There are no further simplifications possible, so the expression remains as:
4^13 * 3^5
simplify this expression using the Quotient Rule of Integer Exponents: t^400/t.^100.(1 point)
t^500
t^300
300
t^4