Solve =193*10^6*64*10^9/1970

$$= \frac { 193 \times 10 ^ { 6 } \times 64 \times 10 ^ { 9 } } { 1970 }$$

Evaluate

$$\frac{1235200000000000000}{197}\approx 6.270050761 \cdot 10^{15}$$

Solution Steps

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

$$\frac{193\times 10^{15}\times 64}{1970}$$

Calculate 10 to the power of 15 and get 1000000000000000.

$$\frac{193\times 1000000000000000\times 64}{1970}$$

Multiply 193 and 1000000000000000 to get 193000000000000000.

$$\frac{193000000000000000\times 64}{1970}$$

Multiply 193000000000000000 and 64 to get 12352000000000000000.

$$\frac{12352000000000000000}{1970}$$

Reduce the fraction \frac{12352000000000000000}{1970} to lowest terms by extracting and canceling out 10.

$$\frac{1235200000000000000}{197}$$

Factor

$$\frac{2 ^ {20} \cdot 5 ^ {14} \cdot 193}{197} = 6270050761421320\frac{157}{197} = 6270050761421320$$