Simplify x^675/^453
To simplify the expression, we can use the fact that x^a / x^b = x^(a-b).
Therefore, x^675 / x^453 can be written as x^(675-453) = x^222.
So, x^675 / x^453 simplifies to x^222.
What is the missing exponent in the following equation?
e^?/e^65 = e^38
To find the missing exponent, we can use the fact that e^a / e^b = e^(a-b).
Therefore, e^? / e^65 = e^38 can be rewritten as e^(?-65) = e^38.
If two exponential expressions with the same base are equal, then their exponents must also be equal.
Therefore, we have ? - 65 = 38.
Solving for ?, we add 65 to both sides: ? = 38 + 65 = 103.
So, the missing exponent in the equation is 103.
In summary, e^? / e^65 = e^38 is equivalent to e^103 / e^65 = e^38.
13^12 ÷ 13^-10
When dividing two numbers with the same base, subtract the exponents.
Therefore, we have:
13^12 ÷ 13^(-10) = 13^(12 - (-10)) = 13^(12 + 10) = 13^22.
So, 13^12 ÷ 13^(-10) simplifies to 13^22.
4^13 ÷ 3^-5
When dividing two numbers with the same base, subtract the exponents.
Therefore, we have:
4^13 ÷ 3^(-5) = 4^13 ÷ 1 / 3^5 = 4^13 × 3^5.
To multiply two numbers with the same base, add the exponents.
Therefore, we have:
4^13 × 3^5 = 4^13 × 3^5 = 4^(13+5) × 3^5 = 4^18 × 3^5.
So, 4^13 ÷ 3^(-5) simplifies to 4^18 × 3^5.
Simplify this expression using the Quotient Rule of Integer Exponents: t400/t100 .(1 point)
Responses
30
t^300
t^4
t^500
According to the Quotient Rule of Integer Exponents, when dividing two powers with the same base, you subtract the exponents.
Therefore, t^400 / t^100 can be simplified as t^(400-100) = t^300.
So, the simplification of t^400 / t^100 using the Quotient Rule of Integer Exponents is t^300.
Simplify a^67/b^34 .(1 point)
Responses
ab^33
23
a^67/b^34
a^33