Question

What is the value of k?

Answer 1

6^9 . 6^x = 6^2
6^(9+x) = 6^2
9+x = 2
x = 2 - 9
x = -7

Answer 2

`6^9\cdot6^x=6^2\ \ \ |use\ a^m\cdot a^n=a^(m+n)\\\\6^(9+x)=6^2\iff9+x=2\ \ \ |subtract\ 9\ from\ both\ sides\\\\\boxed{x=-7}`