Answer:
k = 8
Step-by-step explanation:
[tex]7^{5} * 7^{6} = 7^{3} * 7^{k}\\7^{5 + 6} = 7^{3 + k}[/tex]
If you have 7 to the power (a + b) equals 7 to the power (x + y), then (a + b) and (x + y) have to equal each other, because the base (7) is the same on both sides of the equation.
5 + 6 = 3 + k
11 = 3 + k
11 - 3 = 3 - 3 + k
8 = k