Solve (19.4*10^6*64*10^9)div197.6

$$(19.4 \times { 10 }^{ 6 } \times 64 \times { 10 }^{ 9 } ) \div 197.6$$

Evaluate

$$\frac{1552000000000000000}{247}\approx 6.28340081 \cdot 10^{15}$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 6 and 9 to get 15.

$$\frac{19.4\times 10^{15}\times 64}{197.6}$$

Calculate 10 to the power of 15 and get 1000000000000000.

$$\frac{19.4\times 1000000000000000\times 64}{197.6}$$

Multiply 19.4 and 1000000000000000 to get 19400000000000000.

$$\frac{19400000000000000\times 64}{197.6}$$

Multiply 19400000000000000 and 64 to get 1241600000000000000.

$$\frac{1241600000000000000}{197.6}$$

Expand \frac{1241600000000000000}{197.6} by multiplying both numerator and the denominator by 10.

$$\frac{12416000000000000000}{1976}$$

Reduce the fraction \frac{12416000000000000000}{1976} to lowest terms by extracting and canceling out 8.

$$\frac{1552000000000000000}{247}$$

Factor

$$\frac{97 \cdot 2 ^ {19} \cdot 5 ^ {15}}{13 \cdot 19} = 6283400809716599\frac{47}{247} = 6283400809716599$$