Solve 0.0014^2*2+0.0018^2+0.0024^2+0.0016^2+{0.001}^2

$${ 0.0014 }^{ 2 } \times 2+ { 0.0018 }^{ 2 } + { 0.0024 }^{ 2 } + { 0.0016 }^{ 2 } + { 0.001 }^{ 2 }$$

Evaluate

$$0.00001648$$

Solution Steps

Calculate 0.0014 to the power of 2 and get 0.00000196.

$$0.00000196\times 2+0.0018^{2}+0.0024^{2}+0.0016^{2}+0.001^{2}$$

Multiply 0.00000196 and 2 to get 0.00000392.

$$0.00000392+0.0018^{2}+0.0024^{2}+0.0016^{2}+0.001^{2}$$

Calculate 0.0018 to the power of 2 and get 0.00000324.

$$0.00000392+0.00000324+0.0024^{2}+0.0016^{2}+0.001^{2}$$

Add 0.00000392 and 0.00000324 to get 0.00000716.

$$0.00000716+0.0024^{2}+0.0016^{2}+0.001^{2}$$

Calculate 0.0024 to the power of 2 and get 0.00000576.

$$0.00000716+0.00000576+0.0016^{2}+0.001^{2}$$

Add 0.00000716 and 0.00000576 to get 0.00001292.

$$0.00001292+0.0016^{2}+0.001^{2}$$

Calculate 0.0016 to the power of 2 and get 0.00000256.

$$0.00001292+0.00000256+0.001^{2}$$

Add 0.00001292 and 0.00000256 to get 0.00001548.

$$0.00001548+0.001^{2}$$

Calculate 0.001 to the power of 2 and get 0.000001.

$$0.00001548+0.000001$$

Add 0.00001548 and 0.000001 to get 0.00001648.

$$0.00001648$$

Factor

$$\frac{103}{2 ^ {4} \cdot 5 ^ {8}} = 1.648 \times 10^{-5}$$