Multiplying and Dividing Rational Expressions — Quiz
Question 10 • Mathematics III
What is the product? 5 k over 6 times the fraction with numerator 3 and denominator 2 k cubed
Answer
A
the fraction with numerator 5 k squared and denominator 4
B
the fraction with numerator 5 k to the 4th power and denominator 4
C
the fraction with numerator 5 and denominator 4 k squared
D
the fraction with numerator 5 and denominator 4 k to the 4th power
Explanation
Multiply the numerators and denominators: (5k × 3)/(6 × 2k³) = 15k/(12k³). Reduce 15/12 to 5/4 and cancel one factor of k, leaving 5/(4k²), which is choice C.
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