Question 9
IndicesIf (a²b⁻³c)¾/(a⁻¹b⁴c⁵) = apbqcr. What is the value of P + 2q?
- A.5/2
- B.−25/4
- C.−10
- D.−5/4
Show the answer and explanation
Answer: C (−10)
Explanation
The left side is a^(3/2 + 1) b^(−9/4 − 4) c^(3/4 − 5), so p = 5/2 and q = −25/4. Then p + 2q = 5/2 − 25/2 = −10.