If a fraction is raised to its own power (the fraction to the power of the fraction's numerator over denominator) and then divided by its reciprocal, the result is 8/49 x ... equal to 1331/27. Find that fraction.

A3 2/3 ✓ Correct

B1 1/3

C2 2/3

D4 1/3

Correct answer: (A) 3 2/3

Explanation

The fraction is 3 2/3, that is 11/3.

The result 1331/27 is a perfect cube.

1331 = 11^3 and 27 = 3^3.

So 1331/27 = (11/3)^3.

The fraction is 11/3 = 3 2/3.

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