Solve A=frac{(-0.1)^{11}*9^{4}*4^9*10^5}{(-3)^8*(-0.16)^6}

$$A = \frac { ( - 0.1 ) ^ { 11 } \times 9 ^ { 4 } \times 4 ^ { 9 } \times 10 ^ { 5 } } { ( - 3 ) ^ { 8 } \times ( - 0.16 ) ^ { 6 } }$$

Solve for A

$$A=-15625$$

Steps for Solving Linear Equation

Calculate -0.1 to the power of 11 and get -0.00000000001.

$$A=\frac{-0.00000000001\times 9^{4}\times 4^{9}\times 10^{5}}{\left(-3\right)^{8}\left(-0.16\right)^{6}}$$

Calculate 9 to the power of 4 and get 6561.

$$A=\frac{-0.00000000001\times 6561\times 4^{9}\times 10^{5}}{\left(-3\right)^{8}\left(-0.16\right)^{6}}$$

Multiply -0.00000000001 and 6561 to get -0.00000006561.

$$A=\frac{-0.00000006561\times 4^{9}\times 10^{5}}{\left(-3\right)^{8}\left(-0.16\right)^{6}}$$

Calculate 4 to the power of 9 and get 262144.

$$A=\frac{-0.00000006561\times 262144\times 10^{5}}{\left(-3\right)^{8}\left(-0.16\right)^{6}}$$

Multiply -0.00000006561 and 262144 to get -0.01719926784.

$$A=\frac{-0.01719926784\times 10^{5}}{\left(-3\right)^{8}\left(-0.16\right)^{6}}$$

Calculate 10 to the power of 5 and get 100000.

$$A=\frac{-0.01719926784\times 100000}{\left(-3\right)^{8}\left(-0.16\right)^{6}}$$

Multiply -0.01719926784 and 100000 to get -1719.926784.

$$A=\frac{-1719.926784}{\left(-3\right)^{8}\left(-0.16\right)^{6}}$$

Calculate -3 to the power of 8 and get 6561.

$$A=\frac{-1719.926784}{6561\left(-0.16\right)^{6}}$$

Calculate -0.16 to the power of 6 and get 0.000016777216.

$$A=\frac{-1719.926784}{6561\times 0.000016777216}$$

Multiply 6561 and 0.000016777216 to get 0.110075314176.

$$A=\frac{-1719.926784}{0.110075314176}$$

Expand \frac{-1719.926784}{0.110075314176} by multiplying both numerator and the denominator by 1000000000000.

$$A=\frac{-1719926784000000}{110075314176}$$

Divide -1719926784000000 by 110075314176 to get -15625.

$$A=-15625$$

Assign A

$$A≔-15625$$