Simplify. a2xa6

Question

assume that no variable equals 0

Answer 1

If the problem says a² x a⁶, then that is the same thing as having 2 a's being multiplied by each other, and then being multiplied by 6 a's, so
(a • a)(a • a • a • a • a • a) = a⁸. 

In general when you are multiplying two numbers that have the same base, you can keep the base and add their exponents. 
So a² • a⁶ = a²⁺⁶ = a⁸.

 

Answer 2

2a multiplied by 6a = 2*6*a*a=12a^2