If {(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?

A.
(5/2)

B.
(5/4)

C.
(25/4)

D.
10
Correct Answer: Option D
Explanation
Hint: Use BODMAS and algebra to arrive at the values of P = 5/2, q = 25/4 and r = 9/2.
Then substitute the values of p and q into p+2q to get 10.
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2 years ago
[a^2(3/4)b^3(3/4)c^(3/4)]divided by (a^1b^4c^5)
===>(a^3/2b^9/4c^3/4)divided by (a^1b^4c^5).
Note a^p =3/2(1)==>p=5/2
q=9/4(4)===>q=25/4
r=3/4(5)===>r=17/4
now p+2q
5/2+2(25/4)
: p+2q=10.
Make use of indice...