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 = (9/2).
Then p+2q will give you \(\frac{5}{2}+2\left(\frac{25}{4}\right)= 10\)
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6 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...