Question

Simplify : a^(-4) × b^(-7)× c^(-3)× d^3/ a^(-7) × b^(-9) × c^3 × d^3 ​

Answer 1

Answer:

Here

Step-by-step explanation:

A(4,7), B(p,3) & c (7,3) are vertices of right angle triangle then u

using Pythagoras theorem

(AC)  

2

=(AB)  

2

+(BC)  

2

 

(7−4)  

2

+(3−7)  

2

=(p−4)  

2

+(3−7)  

2

+(p−7)  

2

+(3−3)  

2

 

9+16=(p−4)  

2

+16+(p−7)  

2

 

9=p  

2

+16−8p+p  

2

+49−14p

2p  

2

−22p+56=0

p  

2

−11p+28=0

p  

2

−7p−4p+28=0

(p-4)(p-7)=0

Hence p-4=0 & p-7=0

[p=4,7]