6
QuizMultiple Choice

Simplifying Rational Expressions — Quiz

Question 6 • Mathematics III

Simplify the expression open paren the fraction with numerator 1 and denominator 4 A b close paren to the negative 2 power Assume A is not equal to 0 , b is not equal to 0

Answer
A
the fraction with numerator A squared b squared and denominator 4
B
negative the fraction with numerator 1 and denominator 16 A squared b squared
C
negative 16 A squared b squared
D
16 A squared b squared

Explanation

A negative exponent means take the reciprocal, then apply the exponent: (1/(4Ab))^-2 = (4Ab)^2. Squaring each factor gives 4²A²b² = 16A²b², so the correct choice is 16 A squared b squared.

AI-written and checked against the verified answer.

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