16Hit1600
Advanced MathEasy–MediumSimplifying a quotient of monomials

Advanced Math practice question

For x ≠ 0, the expression 12x³/(4x) simplifies to kxⁿ, where k and n are constants. What is the value of k + n?

Answer: 5

12 ÷ 4 = 3 and x³ ÷ x = x², so k = 3, n = 2, and k + n = 5.

Common wrong answers

If you answered 4
4 uses n = 1.
If you answered 6
6 uses n = 3, forgetting to subtract the exponent of x in the denominator.
If you answered 11
11 uses k = 8 (12 − 4) instead of 12 ÷ 4.

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