5
QuizMultiple Choice

Zero and Negative Exponents — Quiz

Question 5 • Algebra I

What is the value of open paren negative 3 fourths close paren to the negative 4 power ?

Answer
A
negative 81 over 256
B
negative 256 over 81
C
81 over 256
D
256 over 81

Explanation

A negative exponent means take the reciprocal of the base raised to the corresponding positive power. Thus, (−3/4)^−4 = 1 ÷ (−3/4)^4 = 1 ÷ (81/256) = 256/81. The fourth power is positive because the negative base is multiplied by itself an even number of times, so the correct choice is 256 over 81.

AI-written and checked against the verified answer.

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