Question

find the value of a and b for following :

Answer 1

(15)^a × (15)^b = 15^7

(15)^(a+b) =15^7

compare

a+b = 7

As a -b = 1

Add
2a = 8

a= 4

put a= 4 in a-b = 1

b= a-1 = 4-1 = 3

2) (9)^2a × (3)^2b = (9)^6

(9)^2a × (9)^b = (9)^6

(9)^(2a +b)= (9)^6

2a +b = 6

a- b = 3

add

3a = 9

a= 3..

put in a-b = 3

b= a -3 = 3-3=0