Question 41
IndicesSimplify f½ g2h⅓ ÷ f5/2g0 h7/3
- A.(g/fh)2
- B.f5g2h7
- C.f5/4g0h2/7
- D.g2/f5h7
- E.1/f2h2
Show the answer and explanation
Answer: A ((g/fh)2)
Explanation
Subtract the powers: f^(½ − 5/2) = f⁻², g^(2 − 0) = g², h^(⅓ − 7/3) = h⁻². So the result is g²/(f²h²) = (g/fh)².