Solve (1.6*10^-19)(5.9910^28)(4(0.002)^2)

$$( 1.6 \times 10 ^ { - 19 } ) ( 5.9910 ^ { 28 } ) ( 4 ( 0.002 ) ^ { 2 } )$$

Evaluate

$$0.01507373631350708948191638575859595281560668192687261275725056597496771782883369898039857749065242417438597376$$

Solution Steps

Calculate 10 to the power of -19 and get \frac{1}{10000000000000000000}.

$$1.6\times \frac{1}{10000000000000000000}\times 5.991^{28}\times 4\times 0.002^{2}$$

Multiply 1.6 and \frac{1}{10000000000000000000} to get \frac{1}{6250000000000000000}.

$$\frac{1}{6250000000000000000}\times 5.991^{28}\times 4\times 0.002^{2}$$

Calculate 5.991 to the power of 28 and get 5888178247463706828873.588186951544068596360127684614358301002333971764776888163664218194332286103193119521.

$$\frac{1}{6250000000000000000}\times 5888178247463706828873.588186951544068596360127684614358301002333971764776888163664218194332286103193119521\times 4\times 0.002^{2}$$

Multiply \frac{1}{6250000000000000000} and 5888178247463706828873.588186951544068596360127684614358301002333971764776888163664218194332286103193119521 to get \frac{5888178247463706828873588186951544068596360127684614358301002333971764776888163664218194332286103193119521}{6250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}.

$$\frac{5888178247463706828873588186951544068596360127684614358301002333971764776888163664218194332286103193119521}{6250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}\times 4\times 0.002^{2}$$

Multiply \frac{5888178247463706828873588186951544068596360127684614358301002333971764776888163664218194332286103193119521}{6250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000} and 4 to get \frac{5888178247463706828873588186951544068596360127684614358301002333971764776888163664218194332286103193119521}{1562500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}.

$$\frac{5888178247463706828873588186951544068596360127684614358301002333971764776888163664218194332286103193119521}{1562500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}\times 0.002^{2}$$

Calculate 0.002 to the power of 2 and get 0.000004.

$$\frac{5888178247463706828873588186951544068596360127684614358301002333971764776888163664218194332286103193119521}{1562500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}\times 0.000004$$

Multiply \frac{5888178247463706828873588186951544068596360127684614358301002333971764776888163664218194332286103193119521}{1562500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000} and 0.000004 to get \frac{5888178247463706828873588186951544068596360127684614358301002333971764776888163664218194332286103193119521}{390625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}.

$$\frac{5888178247463706828873588186951544068596360127684614358301002333971764776888163664218194332286103193119521}{390625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}$$

Factor

$$\frac{3 ^ {28} \cdot 1997 ^ {28}}{2 ^ {102} \cdot 5 ^ {110}} = 0.015073736313507087$$