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If \(\frac{{a^2b^{-3}c}^3/4}{a^{-1}b^4c^5}\) = \(a^p b^q c^r\); what is the value of p+2q?

Mathematics
JAMB 1999

If \(\frac{{a^2b^{-3}c}^3/4}{a^{-1}b^4c^5}\) = \(a^p b^q c^r\); 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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