Solve 0.8*0.98^3+0.15*0.9^3+0.05*0.1^3

$$0.8 \times { 0.98 }^{ 3 } +0.15 \times { 0.9 }^{ 3 } +0.05 \times { 0.1 }^{ 3 }$$

Evaluate

$$0.8623536$$

Solution Steps

Calculate 0.98 to the power of 3 and get 0.941192.

$$0.8\times 0.941192+0.15\times 0.9^{3}+0.05\times 0.1^{3}$$

Multiply 0.8 and 0.941192 to get 0.7529536.

$$0.7529536+0.15\times 0.9^{3}+0.05\times 0.1^{3}$$

Calculate 0.9 to the power of 3 and get 0.729.

$$0.7529536+0.15\times 0.729+0.05\times 0.1^{3}$$

Multiply 0.15 and 0.729 to get 0.10935.

$$0.7529536+0.10935+0.05\times 0.1^{3}$$

Add 0.7529536 and 0.10935 to get 0.8623036.

$$0.8623036+0.05\times 0.1^{3}$$

Calculate 0.1 to the power of 3 and get 0.001.

$$0.8623036+0.05\times 0.001$$

Multiply 0.05 and 0.001 to get 0.00005.

$$0.8623036+0.00005$$

Add 0.8623036 and 0.00005 to get 0.8623536.

$$0.8623536$$

Factor

$$\frac{3 \cdot 179657}{2 ^ {3} \cdot 5 ^ {7}} = 0.8623536$$