6(-1)^2 + 4(-1)^5

First, we need to simplify the exponents:

(-1)^2 = 1
(-1)^5 = -1

Now plug these values back into the equation:

61 + 4(-1)

Simplify the equation further:

6 + (-4)

Finally, add the numbers together:

6 - 4 = 2

Therefore, 6(-1)^2 + 4(-1)^5 = 2.