Answer:
Step-by-step explanation:
Given that,
x^8/x^a=x²
Applying indices
Division rule a^m ÷ a^n = a^(m-n)
Then,
x^8/x^a=x²
x^(8-a)=x²
For this to be equal means that, the power are equals since they have the same base
Then, 8-a=2
8+2=a
So, a=10
Taking the second equation
(x^6)^b=x¹²
Using indices again
x^(6b)=x¹²
Also, for this to be equal
6b=12
Then, b=12/6
b=2
Then, b=2 and =10
We need to find b-a.
b-a=2-10=-8
Then, the answer to b-a is -8
