If \(\frac{(a^2 b^{-3}c)^{\frac{3}{4}}}{a^{-1}b^{4}c^{5}}...
If (a2b−3c)34a−1b4c5=apbqcr What is the value of p+2q?
(5/2)
-(5/4)
-(25/4)
-10
Correct answer is D
Hint: apply basic mathematics rules beginning from BODMAS to algebra, and follow solution carefully to arrive at
p = 52, q = -254 and r = -174
NUMERATOR: a21∗34 b−31∗34 c11∗34
a32 b−94 c34
Using index method for numerator & denominator : a32−−11 b−94−41 c34−51
: a52 b−254 c−174
Then p+2q will give you 52+2(−254)=−10
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