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

If \(\frac{(a^2 b^{-3}c)^{\frac{3}{4}}}{a^{-1}b^{4}c^{5}}=a^{p} b^{q} c^{r}\) What is the value of p+2q?
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  • A (5/2)
  • B -(5/4)
  • C -(25/4)
  • D -10
Correct Answer: Option D
Explanation:
Hint: apply basic mathematics rules beginning from BODMAS to algebra, and follow solution carefully to arrive at p =(5/2), q = -(25/4) and r = -(17/4).
Then p+2q will give you \(\frac{5}{2}+2\left(\frac{-25}{4}\right)= -10\)

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