Question 15
IndicesSimplify (9⅓ × 27−½)/(3−⅙ × 3−⅔)
- A.1/3
- B.1
- C.3
- D.9
Show the answer and explanation
Answer: B (1)
Explanation
The top is 3^(2/3) × 3^(−3/2) = 3^(−5/6) and the bottom is 3^(−1/6 − 2/3) = 3^(−5/6). They are equal, so the value is 1.
Simplify (9⅓ × 27−½)/(3−⅙ × 3−⅔)
Answer: B (1)
The top is 3^(2/3) × 3^(−3/2) = 3^(−5/6) and the bottom is 3^(−1/6 − 2/3) = 3^(−5/6). They are equal, so the value is 1.