Solve 6.6710^11*2000*5.98*10^24/6380000

$$\frac{ 6.67 { 10 }^{ 11 } \times 2000 \times 5.98 \times { 10 }^{ 24 } }{ 6380000 }$$

Evaluate

$$\frac{13754000000000000000000000000000000}{11}\approx 1.250363636 \cdot 10^{33}$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 11 and 24 to get 35.

$$\frac{6.67\times 10^{35}\times 2000\times 5.98}{6380000}$$

Calculate 10 to the power of 35 and get 100000000000000000000000000000000000.

$$\frac{6.67\times 100000000000000000000000000000000000\times 2000\times 5.98}{6380000}$$

Multiply 6.67 and 100000000000000000000000000000000000 to get 667000000000000000000000000000000000.

$$\frac{667000000000000000000000000000000000\times 2000\times 5.98}{6380000}$$

Multiply 667000000000000000000000000000000000 and 2000 to get 1334000000000000000000000000000000000000.

$$\frac{1334000000000000000000000000000000000000\times 5.98}{6380000}$$

Multiply 1334000000000000000000000000000000000000 and 5.98 to get 7977320000000000000000000000000000000000.

$$\frac{7977320000000000000000000000000000000000}{6380000}$$

Reduce the fraction \frac{7977320000000000000000000000000000000000}{6380000} to lowest terms by extracting and canceling out 580000.

$$\frac{13754000000000000000000000000000000}{11}$$

Factor

$$\frac{13 \cdot 2 ^ {31} \cdot 5 ^ {30} \cdot 23 ^ {2}}{11} = 1.2503636363636366 \times 10^{33}\frac{9}{11} = 1.2503636363636366 \times 10^{33}$$