Question

Which of the following interpretations for the given expression is correct? (Picture included)

C/x^n (C over x^n)

a. The quotient of C/n and x
b. The quotient of C and x^n
c. C/x raised to the nth power
d. The quotient of C and x multiplied by n

Answer 1

Quotient means division.
In your words, what are you dividing in that fraction?

Answer 2

I am stuck between B and C.
I know I am diving C and x^n, but the option C. also sounds possibly correct.

Answer 3

I think they mean by C that you first divide C by x, then you raise the result to the n power.

Answer 4

In other words, B and C are quite different.

Answer 5

I see. So B. would be the most reasonable answer? Since in the expression x is being raised by n?

Answer 6

Correct. B is the only correct answer. All others will give you different result.

\(\dfrac{C}{x^n} \)

A. \(\dfrac{\frac{C}{x}}{n} = \dfrac{C}{xn} \)

B. \(\dfrac{C}{x^n} \) (correct)

C. \( \left( \dfrac{C}{x} \right)^n = \dfrac{C^n}{x^n} \)

D. \( \dfrac{C}{x}n \)

Answer 7

Thank you very much for your help!