Solve 6*67*6*10^24*7.4*10/3*84*10^5

$$6 \cdot \frac { 67 \times 6 \times 10 ^ { 24 } \times 7.4 \times 10 } { 3 \cdot 84 \times 10 ^ { 5 } }$$

Evaluate

$$\frac{49580000000000000000000}{7}\approx 7.082857143 \cdot 10^{21}$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 24 and 1 to get 25.

$$6\times \frac{67\times 6\times 10^{25}\times 7.4}{3\times 84\times 10^{5}}$$

Cancel out 2\times 3\times 10^{5} in both numerator and denominator.

$$6\times \frac{7.4\times 67\times 10^{20}}{42}$$

Multiply 7.4 and 67 to get 495.8.

$$6\times \frac{495.8\times 10^{20}}{42}$$

Calculate 10 to the power of 20 and get 100000000000000000000.

$$6\times \frac{495.8\times 100000000000000000000}{42}$$

Multiply 495.8 and 100000000000000000000 to get 49580000000000000000000.

$$6\times \frac{49580000000000000000000}{42}$$

Reduce the fraction \frac{49580000000000000000000}{42} to lowest terms by extracting and canceling out 2.

$$6\times \frac{24790000000000000000000}{21}$$

Express 6\times \frac{24790000000000000000000}{21} as a single fraction.

$$\frac{6\times 24790000000000000000000}{21}$$

Multiply 6 and 24790000000000000000000 to get 148740000000000000000000.

$$\frac{148740000000000000000000}{21}$$

Reduce the fraction \frac{148740000000000000000000}{21} to lowest terms by extracting and canceling out 3.

$$\frac{49580000000000000000000}{7}$$

Factor

$$\frac{37 \cdot 67 \cdot 2 ^ {20} \cdot 5 ^ {19}}{7} = 7.082857142857142 \times 10^{21}\frac{1}{7} = 7.082857142857142 \times 10^{21}$$