Evaluate (4/3)^-3

Problem

(4/3)(−3)

Solution

1. Apply the negative exponent rule, which states that a(−n)=1/(an) or (a/b)(−n)=(b/a)n

(4/3)(−3)=(3/4)3

2. Apply the power of a quotient rule, which states that (a/b)n=(an)/(bn)

(3/4)3=3/4

3. Evaluate the powers in the numerator and the denominator.

3=27

4=64

4. Combine the results into a single fraction.

27/64

Final Answer

(4/3)(−3)=27/64

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