If {(a2b-3c)3/4/a-1b4c5} = apbqcr; what is the value of p+2q? - Myschool

If {(a2b-3c)3/4/a-1b4c5} = apbqcr; what is the value of p+2q?

JAMB 1999

If {(a²b^-3c)^3/4/a^-1b⁴c⁵} = a^pb^qc^r; what is the value of p+2q?

A. (5/2)
B. -(5/4)
C. -(25/4)
D. -10

Correct Answer: Option D

Explanation

Hint: Use BODMAS and algebra to arrive at the values of P = 5/2, q = -25/4 and r = -9/2.
Then substitute the values of p and q into p+2q to get -10.

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