Answer:
4/9
Explanation:
√8^a=4^b/3.
You can rewrite √8^a as 8^a/2.
So then that would be, 8^a/2=4^b/3.
If both sides have the same base, we could then make the fractional exponents equal to each other. Since 2^3=8 and 2^2=4, we can make that possible.
2^3(a/2)=2^2(b/3).
2^3a/2=2^2b/3.
So now 3a/2=2b/3.
Then we isolate the a, by multiplying 2/3 on both sides and are left with:
a=2/3*2/3*b
a=4/9*b
Then you divide both sides by b to get:
a/b=4/9.
