Solve 1.99*10^30(250*250/30000*9.46*10^15)=

$$1.99 \times { 10 }^{ 30 } ( \frac{ 250 \times 250 }{ 30000 \times 9.46 \times { 10 }^{ 15 } } )=$$

Evaluate

$$\frac{621875000000000000}{1419}\approx 4.382487667 \cdot 10^{14}$$

Solution Steps

Calculate 10 to the power of 30 and get 1000000000000000000000000000000.

$$1.99\times 1000000000000000000000000000000\times \frac{250\times 250}{30000\times 9.46\times 10^{15}}$$

Multiply 1.99 and 1000000000000000000000000000000 to get 1990000000000000000000000000000.

$$1990000000000000000000000000000\times \frac{250\times 250}{30000\times 9.46\times 10^{15}}$$

Cancel out 10\times 250 in both numerator and denominator.

$$1990000000000000000000000000000\times \frac{25}{9.46\times 12\times 10^{15}}$$

Multiply 9.46 and 12 to get 113.52.

$$1990000000000000000000000000000\times \frac{25}{113.52\times 10^{15}}$$

Calculate 10 to the power of 15 and get 1000000000000000.

$$1990000000000000000000000000000\times \frac{25}{113.52\times 1000000000000000}$$

Multiply 113.52 and 1000000000000000 to get 113520000000000000.

$$1990000000000000000000000000000\times \frac{25}{113520000000000000}$$

Reduce the fraction \frac{25}{113520000000000000} to lowest terms by extracting and canceling out 25.

$$1990000000000000000000000000000\times \frac{1}{4540800000000000}$$

Multiply 1990000000000000000000000000000 and \frac{1}{4540800000000000} to get \frac{1990000000000000000000000000000}{4540800000000000}.

$$\frac{1990000000000000000000000000000}{4540800000000000}$$

Reduce the fraction \frac{1990000000000000000000000000000}{4540800000000000} to lowest terms by extracting and canceling out 3200000000000.

$$\frac{621875000000000000}{1419}$$

Factor

$$\frac{199 \cdot 2 ^ {12} \cdot 5 ^ {17}}{3 \cdot 11 \cdot 43} = 438248766737138\frac{1178}{1419} = 438248766737138.8$$