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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