(100 POINTS) Can anyone solve this math equation for me? Thank you!

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

answer: the common difference is -0.10