Simplify (3b^8 b^-2)^3

Answer:
27b^18
Step-by-step explanation:
The applicable rules of exponents are ...
(ab)^c = (a^c)(b^c)
(a^b)(a^c) = a^(b+c)
(a^b)^c = a^(bc)
___
(3b^8·b^-2)^3 = (3b^(8-2))^3 = (3b^6)^3
= 3^3·b^(6·3)
= 27b^18