Question 10

Algebra Level 1

$\dfrac{9m^7p^{12}}{12m^5p^{15}}=\dfrac{Am^X}{Bp^Y},$ where $A$ and $B$ are positive coprime integers. Find $A+B+X+Y.$

2 solutions

Trevor B.
May 25, 2014

$\dfrac{9m^7p^{12}}{12m^5p^{15}}=\dfrac{3m^2}{4p^3,}$ so $A=3,$ $B=4,$ $X=2,$ and $Y=3,$ so $A+B+X+Y=\boxed{12}$

why's it unrated?

Krishna Deb - 7 years ago

In the question it is saying that A and B are coprime. So if B=4 , then B is not a prime! Confused!!!

Nashita Rahman - 4 years, 3 months ago

Sunitha Bhadragiri
May 27, 2014

3/4 *m^2/p^3=12