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QuizMultiple Choice

Rational Exponents — Quiz

Question 1 • Mathematics III

Which expression is equivalent to negative 32 raised to the 3 fifths power ?

Answer
A
the fraction with numerator 1 and denominator cube root of 32 to the 5th power
B
negative 8
C
negative cube root of 32 to the 5th power
D
1 eighth

Explanation

For [?](-32)^{3/5}, take the fifth root first: the fifth root of [?]-32 is [?]-2. Then cube the result: [?](-2)^3=-8. So the equivalent expression is negative 8, choice B.

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