Solve 0.07^2+0.1^2+0.06^2+0.01^2+{0.1}^{2}+{0.04}^{2}+{0.02}^{2}+{0.24}^{2}+{0.11}^{2}+{0.11}^2+{0.02}^2+{0.02}^2+{0.07}^2

$${ 0.07 }^{ 2 } + { 0.1 }^{ 2 } + { 0.06 }^{ 2 } + { 0.01 }^{ 2 } + { 0.1 }^{ 2 } + { 0.04 }^{ 2 } + { 0.02 }^{ 2 } + { 0.24 }^{ 2 } + { 0.11 }^{ 2 } + { 0.11 }^{ 2 } + { 0.02 }^{ 2 } + { 0.02 }^{ 2 } + { 0.07 }^{ 2 }$$

Evaluate

$$0.1181$$

Solution Steps

Calculate 0.07 to the power of 2 and get 0.0049.

$$0.0049+0.1^{2}+0.06^{2}+0.01^{2}+0.1^{2}+0.04^{2}+0.02^{2}+0.24^{2}+0.11^{2}+0.11^{2}+0.02^{2}+0.02^{2}+0.07^{2}$$

Calculate 0.1 to the power of 2 and get 0.01.

$$0.0049+0.01+0.06^{2}+0.01^{2}+0.1^{2}+0.04^{2}+0.02^{2}+0.24^{2}+0.11^{2}+0.11^{2}+0.02^{2}+0.02^{2}+0.07^{2}$$

Add 0.0049 and 0.01 to get 0.0149.

$$0.0149+0.06^{2}+0.01^{2}+0.1^{2}+0.04^{2}+0.02^{2}+0.24^{2}+0.11^{2}+0.11^{2}+0.02^{2}+0.02^{2}+0.07^{2}$$

Calculate 0.06 to the power of 2 and get 0.0036.

$$0.0149+0.0036+0.01^{2}+0.1^{2}+0.04^{2}+0.02^{2}+0.24^{2}+0.11^{2}+0.11^{2}+0.02^{2}+0.02^{2}+0.07^{2}$$

Add 0.0149 and 0.0036 to get 0.0185.

$$0.0185+0.01^{2}+0.1^{2}+0.04^{2}+0.02^{2}+0.24^{2}+0.11^{2}+0.11^{2}+0.02^{2}+0.02^{2}+0.07^{2}$$

Calculate 0.01 to the power of 2 and get 0.0001.

$$0.0185+0.0001+0.1^{2}+0.04^{2}+0.02^{2}+0.24^{2}+0.11^{2}+0.11^{2}+0.02^{2}+0.02^{2}+0.07^{2}$$

Add 0.0185 and 0.0001 to get 0.0186.

$$0.0186+0.1^{2}+0.04^{2}+0.02^{2}+0.24^{2}+0.11^{2}+0.11^{2}+0.02^{2}+0.02^{2}+0.07^{2}$$

Calculate 0.1 to the power of 2 and get 0.01.

$$0.0186+0.01+0.04^{2}+0.02^{2}+0.24^{2}+0.11^{2}+0.11^{2}+0.02^{2}+0.02^{2}+0.07^{2}$$

Add 0.0186 and 0.01 to get 0.0286.

$$0.0286+0.04^{2}+0.02^{2}+0.24^{2}+0.11^{2}+0.11^{2}+0.02^{2}+0.02^{2}+0.07^{2}$$

Calculate 0.04 to the power of 2 and get 0.0016.

$$0.0286+0.0016+0.02^{2}+0.24^{2}+0.11^{2}+0.11^{2}+0.02^{2}+0.02^{2}+0.07^{2}$$

Add 0.0286 and 0.0016 to get 0.0302.

$$0.0302+0.02^{2}+0.24^{2}+0.11^{2}+0.11^{2}+0.02^{2}+0.02^{2}+0.07^{2}$$

Calculate 0.02 to the power of 2 and get 0.0004.

$$0.0302+0.0004+0.24^{2}+0.11^{2}+0.11^{2}+0.02^{2}+0.02^{2}+0.07^{2}$$

Add 0.0302 and 0.0004 to get 0.0306.

$$0.0306+0.24^{2}+0.11^{2}+0.11^{2}+0.02^{2}+0.02^{2}+0.07^{2}$$

Calculate 0.24 to the power of 2 and get 0.0576.

$$0.0306+0.0576+0.11^{2}+0.11^{2}+0.02^{2}+0.02^{2}+0.07^{2}$$

Add 0.0306 and 0.0576 to get 0.0882.

$$0.0882+0.11^{2}+0.11^{2}+0.02^{2}+0.02^{2}+0.07^{2}$$

Calculate 0.11 to the power of 2 and get 0.0121.

$$0.0882+0.0121+0.11^{2}+0.02^{2}+0.02^{2}+0.07^{2}$$

Add 0.0882 and 0.0121 to get 0.1003.

$$0.1003+0.11^{2}+0.02^{2}+0.02^{2}+0.07^{2}$$

Calculate 0.11 to the power of 2 and get 0.0121.

$$0.1003+0.0121+0.02^{2}+0.02^{2}+0.07^{2}$$

Add 0.1003 and 0.0121 to get 0.1124.

$$0.1124+0.02^{2}+0.02^{2}+0.07^{2}$$

Calculate 0.02 to the power of 2 and get 0.0004.

$$0.1124+0.0004+0.02^{2}+0.07^{2}$$

Add 0.1124 and 0.0004 to get 0.1128.

$$0.1128+0.02^{2}+0.07^{2}$$

Calculate 0.02 to the power of 2 and get 0.0004.

$$0.1128+0.0004+0.07^{2}$$

Add 0.1128 and 0.0004 to get 0.1132.

$$0.1132+0.07^{2}$$

Calculate 0.07 to the power of 2 and get 0.0049.

$$0.1132+0.0049$$

Add 0.1132 and 0.0049 to get 0.1181.

$$0.1181$$

Factor

$$\frac{1181}{2 ^ {4} \cdot 5 ^ {4}} = 0.1181$$