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QuizMultiple Choice

Simplifying Rational Expressions — Quiz

Question 2 • Mathematics III

Which expression is equivalent to the fraction with numerator negative 18 A to the negative 2 power b to the 5th power and denominator negative 12 A to the negative 4 power b to the negative 6 power ? Assume A is not equal to 0 , b is not equal to 0

Answer
A
the fraction with numerator 3 A squared b to the 30th power and denominator 2
B
the fraction with numerator 3 A squared b to the 11th power and denominator 2
C
the fraction with numerator 2 A squared b to the 30th power and denominator 3
D
the fraction with numerator 2 A squared b to the 11th power and denominator 3

Explanation

The negative signs cancel, and the numerical fraction simplifies: 18/12 = 3/2. When dividing powers with the same base, subtract exponents: A has exponent −2 − (−4) = 2, and b has exponent 5 − (−6) = 11. The equivalent expression is 3A²b¹¹/2, choice B.

AI-written and checked against the verified answer.

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