Answer:
a x (4a)^12
Step-by-step explanation:
(8a)^6 x a^4
(4a)^-3
= (8a)^6 x a^4 x (4a)^3
= 8^6 x a^6 x a^4 x 4^3 x a^3
Collect like terms
= 8^6 x 4^3 x a^6 x a^4 x a^3
= (2 x 4)^6 x 4^3 x a^(6 + 4 + 3)
= 2^6 x 4^6 x 4^3 x a^13
= (2^2)^3 x 4^6 x 4^3 x a^13
= 4^3 x 4^6 x 4^3 x a^13
= 4^(3 + 6 + 3) x a^13
= 4^12 x a^13
= a x (4a)^12