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Evaluate the following: (i) (cube_root(64))^(-1/2); (ii) (121/169)^(-3/2).

1. (i) 1/2 (ii) 2197/1331
2. (i) 2 (ii) 1331/2197
3. (i) 1/2 (ii) 1331/2197
4. (i) 1/4 (ii) 2197/1331

Correct answer: (i) 1/2 (ii) 2197/1331

Solution

Simplify the inner roots to integers, then apply the fractional negative exponents.

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