If (a2b−3c)34a−1b4c5=apbqcr ( a 2 b − 3 c ) 3 4 a − 1 b 4 c 5 = a p b q c r What is the value of p+2q?

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?

Answer Details

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 = -(9/2).

Then p+2q will give you $\frac{5}{2}+2\left(\frac{-25}{4}\right)=-10$