Solve (12*10^5)*(4,5*10^13)/(3*10^9)*(9*10^7)

$$\frac { ( 12 \cdot 10 ^ { 5 } ) \cdot ( 4,5 \cdot 10 ^ { 13 } ) } { ( 3 \cdot 10 ^ { 9 } ) \cdot ( 9 \cdot 10 ^ { 7 } ) }$$

Evaluate

$$200$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 5 and 13 to get 18.

$$\frac{12\times 10^{18}\times 4,5}{3\times 10^{9}\times 9\times 10^{7}}$$

To multiply powers of the same base, add their exponents. Add 9 and 7 to get 16.

$$\frac{12\times 10^{18}\times 4,5}{3\times 10^{16}\times 9}$$

Cancel out 3\times 10^{16} in both numerator and denominator.

$$\frac{4\times 4,5\times 10^{2}}{9}$$

Multiply 4 and 4,5 to get 18.

$$\frac{18\times 10^{2}}{9}$$

Calculate 10 to the power of 2 and get 100.

$$\frac{18\times 100}{9}$$

Multiply 18 and 100 to get 1800.

$$\frac{1800}{9}$$

Divide 1800 by 9 to get 200.

$$200$$

Factor

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