3
QuizMultiple Choice

Simplifying Rational Expressions — Quiz

Question 3 • Mathematics III

Which shows the following expression after the negative exponents have been eliminated? the fraction with numerator A cubed b to the negative 2 power and denominator A b to the negative 4 power , A is not equal to 0 , b is not equal to 0

Answer
A
the fraction with numerator A cubed b to the negative 4 power and denominator A b to the negative 2 power
B
the fraction with numerator A cubed b to the 4th power and denominator A b squared
C
negative the fraction with numerator A cubed b to the 4th power and denominator A b squared
D
the fraction with numerator A b to the 4th power and denominator A cubed b squared

Explanation

When dividing powers with the same base, subtract the exponents. The expression becomes A^(3−1)b^(−2−(−4)) = A²b². Choice B, (A³b⁴)/(Ab²), simplifies to A²b² and has no negative exponents.

AI-written and checked against the verified answer.

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