2. b.) ((-6)^9 times(-6)^4)/((-6)^-5) c.) (27^6)/(81^3)+(64^4)/(4^3)

1. -1015599566684162.

1. For the expression \(\frac {(-6)^{9}\times (-6)^{4}}{(-6)^{-5}}\), we can use the properties of exponents. When multiplying numbers with the same base, we add the exponents. When dividing numbers with the same base, we subtract the exponents. Thus, the expression simplifies to \((-6)^{9+4+5} = (-6)^{18}\). The result of this is a negative number because the exponent is even and the base is negative. The final answer is -101559956668416.2. For the expression , we first divide 27 by 813 to get a fraction. Adding 64 to this fraction gives us a sum of 64.666666666666664. When expressed as a fraction, this is equivalent to .