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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?

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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Contributions (61)

Daddy savage
5 months ago
I dnt understand it oh please help me out 馃槶馃槶馃槶
Waliu
5 months ago
na wa day say we should come and be completing with this artificial intelligence( computer) which is suppose to be done by an artificial work done ( dat is robot ) u cant win onless u too are robot,
OLAMIPLENTY
8 months ago
God help me in my exam
Alwayz
2 years ago
Here is an explanation:

To solve this, it is simple though the question looks more complex.

Solution

(a^2 b^2 c)^3\4 divided by a^-1 b^4 c^5 equals to a^p b^q c^r.

First let's separate the question, let's put aside the equals to part, now



Multiply all the numerator through by the power of 3/4. You will get a^3/2 b^-9/4 c^3/4 after this, use law of indices to divide the numerator with the denominator so we have a^3/2 梅 a^-1 b^-9/4 梅 b^4 c^3/4 梅 c^5 after using law of indices to solve it, you will get a^5/2 b^-25/4 c^-17/4. So after these we get our p,q,r by comparing the powers.

:. a^5/2 b^-25/4 c^-17/4 = a^p b^q c^r, so p = 5/2, q = -25/4 c = -17/4. So now P + 2Q = 5/2 + 2(-25/4) after solving this, you will get -10 which is the answer.

Thank you.

REF: Jamb, 1999
ruthbaiby
3 years ago
the answer is c ; be it -25/4 or -13/2
Reallateco
3 years ago
I tink the question is not correct
WALIULLAH
3 years ago
upgrade in the explanation skills.
austinohio
3 years ago
d question self is confusing
Tsinealabi
3 years ago
Finally i got the answer
prof kc
3 years ago
is this really jamb pst questions?
charles obeta
3 years ago
gud one
Yaks SG
3 years ago
Laughing data
sunday felicia
3 years ago
I SWEAR HEE NO EASY AT ALL.IS DIS D KIND OF QUESTION WE ARE GOIN TO FACE INSIDE HALL. BEFORE I FINISHE SOLVING DIS QUESTION INSIDE EXAM HALL,DERE WOULD BE ANYTIME LEFT.MAY GOD HELP US NI O
viole3t@valerie
4 years ago
i dnt understand any of the solution pls help
odince
4 years ago
Which kin question b dis. Wats d meanin of \, /, {, }, confusion occupying my brain.

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