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?
-
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}+2left(frac{-25}{4}right)= -10)