Solve 3.24*10^8/2*10^6*5*10^10/3*10^11

$$\frac { 3.24 \times 10 ^ { 8 } } { 2 \times 10 ^ { 6 } } \cdot \frac { 5 \times 10 ^ { 10 } } { 3 \times 10 ^ { 11 } }$$

Evaluate

$$27$$

Solution Steps

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

$$\frac{3.24\times 10^{2}}{2}\times \frac{5\times 10^{10}}{3\times 10^{11}}$$

Calculate 10 to the power of 2 and get 100.

$$\frac{3.24\times 100}{2}\times \frac{5\times 10^{10}}{3\times 10^{11}}$$

Multiply 3.24 and 100 to get 324.

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

Divide 324 by 2 to get 162.

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

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

$$162\times \frac{5}{3\times 10}$$

Cancel out 5 in both numerator and denominator.

$$162\times \frac{1}{2\times 3}$$

Multiply 2 and 3 to get 6.

$$162\times \frac{1}{6}$$

Multiply 162 and \frac{1}{6} to get \frac{162}{6}.

$$\frac{162}{6}$$

Divide 162 by 6 to get 27.

$$27$$

Factor

$$3^{3}$$