Solve 324*10^8/2*10^6*5*10^10/3*10^11

$$\frac { 324 \times 10 ^ { 8 } } { 2 \times 10 ^ { 6 } } \cdot \frac { 5 \times 10 ^ { 10 } } { 3 \times 10 ^ { 11 } }$$

Evaluate

$$2700$$

Solution Steps

Cancel out 2\times 10^{6} in both numerator and denominator.

$$162\times 10^{2}\times \frac{5\times 10^{10}}{3\times 10^{11}}$$

Calculate 10 to the power of 2 and get 100.

$$162\times 100\times \frac{5\times 10^{10}}{3\times 10^{11}}$$

Multiply 162 and 100 to get 16200.

$$16200\times \frac{5\times 10^{10}}{3\times 10^{11}}$$

Cancel out 10^{10} in both numerator and denominator.

$$16200\times \frac{5}{3\times 10}$$

Cancel out 5 in both numerator and denominator.

$$16200\times \frac{1}{2\times 3}$$

Multiply 2 and 3 to get 6.

$$16200\times \frac{1}{6}$$

Multiply 16200 and \frac{1}{6} to get \frac{16200}{6}.

$$\frac{16200}{6}$$

Divide 16200 by 6 to get 2700.

$$2700$$

Factor

$$2^{2}\times 3^{3}\times 5^{2}$$