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If \(\frac{(a^2 b^{-3}c)^{\frac{3}{4}}}{a^{-1}b^{4}c^{5}}...

If (a2b3c)34a1b4c5=apbqcr What is the value of p+2q?

A.

(5/2)

B.

-(5/4)

C.

-(25/4)

D.

-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:   a2134          b3134          c1134

                           a32      b94    c34

Using index method for numerator & denominator :  a3211           b9441           c3451

:  a52      b254    c174

Then p+2q will give you 52+2(254)=10