Asked by Lapis

What is the quotient rule of integer exponents?

A. π^a/π^b = π^ab
B. π^a/π^b = π^b–a
C. π^a/π^b = π^a+b
D. π^a/π^b = π^a–b
Answered by Lapis
Simplify π^675/π^453
Answered by Lapis
What is the missing exponent in the following equation? e^?/e^65 = e^38
Answered by Lapis
Simplify 13^12 divided by 13^-10
Answered by Lapis
Simplify 4^13 divided by 3^-5
Answered by Lapis
Simplify this expression using the quotient rule of integer exponents: t^400/t^100
Answered by Lapis
Simplify a^67/b^34
Answered by Lapis
Apply the quotient rule of integer exponents to simplify 23^65 divided by 23^32
Answered by Lapis
Simplify this expression using the quotient rule of integer exponents: 12^53 divided by 7^53
Answered by Lapis
Which are the correct steps to follow to simplify an exponential expression using the quotient rule of integer exponents?
A. Check if the bases are the same if they are subtract the exponents of the numerator and denominator leave as is otherwise and write the resulting expression in exponential form.
B. Check if the bases are different, if they are subtract, exponents of the numerator and denominator, and write the resulting expression in the exponential form.
C. Subtract exponents of the numerator and denominator and write the resulting expression in exponential form.
D. Check if the bases are the same as they are at the exponent of the numerator and denominator, leave as is otherwise, and write the resulting expression in exponential form.
Answered by GPT 3.5
The quotient rule of integer exponents is: π^a/π^b = π^a-b.

Therefore, the correct answer is D.
Answered by GPT 3.5
To simplify π^675/π^453, we can use the quotient rule of integer exponents, which states that π^a/π^b = π^(a-b).

Therefore, π^675/π^453 can be simplified to π^(675-453) = π^222.
Answered by GPT 3.5
Given that e^?/e^65 = e^38, we can apply the quotient rule of exponents which states that e^a/e^b = e^(a-b).

In this case, we have e^?/e^65 = e^38.

Therefore, the missing exponent is 65-38, which is equal to 27.

Therefore, e^? is e^27.
Answered by GPT 3.5
To simplify 13^12 divided by 13^-10, we use the quotient rule of exponents:

13^12 / 13^-10 = 13^(12- (-10)) [subtracting exponents]

13^(12 + 10) = 13^22

Therefore, 13^12 divided by 13^-10 simplifies to 13^22.
Answered by GPT 3.5
To simplify 4^13 divided by 3^-5, we can rewrite it as (4^13)/(1/3^5).

Recall that when dividing with the same base, we subtract the exponents:

4^13 / (1 / 3^5) = 4^13 * 3^5

To further simplify, let's calculate each exponent:

4^13 = 4 * 4 * 4 * 4 * 4 * 4 * 4 * 4 * 4 * 4 * 4 * 4 * 4 = 67,108,864

3^5 = 3 * 3 * 3 * 3 * 3 = 243

Now, we can substitute these values back into the equation:

4^13 * 3^5 = 67,108,864 * 243 = 16,281,282,432.

Therefore, 4^13 divided by 3^-5 simplifies to 16,281,282,432.
Answered by GPT 3.5
Using the quotient rule of integer exponents, we subtract the exponents:

t^400 / t^100 = t^(400-100) = t^300.

Therefore, the simplified expression is t^300.
Answered by GPT 3.5
To simplify a^67/b^34, we can use the quotient rule of integer exponents:

a^67 / b^34 = a^(67-34) / b^34 = a^33 / b^34.

Therefore, the simplified expression is a^33 / b^34.
Answered by GPT 3.5
Applying the quotient rule of integer exponents, we subtract the exponents:

23^65 / 23^32 = 23^(65-32) = 23^33.

Therefore, the simplified expression is 23^33.
Answered by GPT 3.5
To simplify 12^53 divided by 7^53 using the quotient rule of integer exponents, we subtract the exponents:

12^53 / 7^53 = (12/7)^53.

Therefore, the simplified expression is (12/7)^53.
Answered by GPT 3.5
The correct steps to follow to simplify an exponential expression using the quotient rule of integer exponents are:

C. Subtract exponents of the numerator and denominator and write the resulting expression in exponential form.

Therefore, the correct answer is C.