Solve 4*0.4*(0.6)^4+6*(0.6)^4*(0.4)^2

$$4 \times 0.4 \times ( 0.6 ) ^ { 4 } + 6 \times ( 0.6 ) ^ { 4 } \times ( 0.4 ) ^ { 2 }$$

Evaluate

$$0.331776$$

Solution Steps

Multiply 4 and 0.4 to get 1.6.

$$1.6\times 0.6^{4}+6\times 0.6^{4}\times 0.4^{2}$$

Calculate 0.6 to the power of 4 and get 0.1296.

$$1.6\times 0.1296+6\times 0.6^{4}\times 0.4^{2}$$

Multiply 1.6 and 0.1296 to get 0.20736.

$$0.20736+6\times 0.6^{4}\times 0.4^{2}$$

Calculate 0.6 to the power of 4 and get 0.1296.

$$0.20736+6\times 0.1296\times 0.4^{2}$$

Multiply 6 and 0.1296 to get 0.7776.

$$0.20736+0.7776\times 0.4^{2}$$

Calculate 0.4 to the power of 2 and get 0.16.

$$0.20736+0.7776\times 0.16$$

Multiply 0.7776 and 0.16 to get 0.124416.

$$0.20736+0.124416$$

Add 0.20736 and 0.124416 to get 0.331776.

$$0.331776$$

Factor

$$\frac{2 ^ {6} \cdot 3 ^ {4}}{5 ^ {6}} = 0.331776$$