Solve (1/238*6022*10^23)*200

$$( \frac{ 1 }{ 238 } \times 6022 \times { 10 }^{ 23 } ) \times 200$$

Evaluate

$$\frac{60220000000000000000000000000}{119}\approx 5.060504202 \cdot 10^{26}$$

Solution Steps

Multiply \frac{1}{238} and 6022 to get \frac{6022}{238}.

$$\frac{6022}{238}\times 10^{23}\times 200$$

Reduce the fraction \frac{6022}{238} to lowest terms by extracting and canceling out 2.

$$\frac{3011}{119}\times 10^{23}\times 200$$

Calculate 10 to the power of 23 and get 100000000000000000000000.

$$\frac{3011}{119}\times 100000000000000000000000\times 200$$

Express \frac{3011}{119}\times 100000000000000000000000 as a single fraction.

$$\frac{3011\times 100000000000000000000000}{119}\times 200$$

Multiply 3011 and 100000000000000000000000 to get 301100000000000000000000000.

$$\frac{301100000000000000000000000}{119}\times 200$$

Express \frac{301100000000000000000000000}{119}\times 200 as a single fraction.

$$\frac{301100000000000000000000000\times 200}{119}$$

Multiply 301100000000000000000000000 and 200 to get 60220000000000000000000000000.

$$\frac{60220000000000000000000000000}{119}$$

Factor

$$\frac{2 ^ {26} \cdot 5 ^ {25} \cdot 3011}{7 \cdot 17} = 5.060504201680673 \times 10^{26}\frac{62}{119} = 5.060504201680673 \times 10^{26}$$