Solve 10*10^3*5+3,6*10^4*2/3,6*10^9+10*10^3

$$\frac { 10 \times 10 ^ { 3 } \times 5 + 3,6 \times 10 ^ { 4 } \times 2 } { 3,6 \times 10 ^ { 9 } + 10 \times 10 ^ { 3 } }$$

Evaluate

$$\frac{61}{1800005}\approx 0,000033889$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 1 and 3 to get 4.

$$\frac{10^{4}\times 5+3,6\times 10^{4}\times 2}{3,6\times 10^{9}+10\times 10^{3}}$$

To multiply powers of the same base, add their exponents. Add 1 and 3 to get 4.

$$\frac{10^{4}\times 5+3,6\times 10^{4}\times 2}{3,6\times 10^{9}+10^{4}}$$

Calculate 10 to the power of 4 and get 10000.

$$\frac{10000\times 5+3,6\times 10^{4}\times 2}{3,6\times 10^{9}+10^{4}}$$

Multiply 10000 and 5 to get 50000.

$$\frac{50000+3,6\times 10^{4}\times 2}{3,6\times 10^{9}+10^{4}}$$

Calculate 10 to the power of 4 and get 10000.

$$\frac{50000+3,6\times 10000\times 2}{3,6\times 10^{9}+10^{4}}$$

Multiply 3,6 and 10000 to get 36000.

$$\frac{50000+36000\times 2}{3,6\times 10^{9}+10^{4}}$$

Multiply 36000 and 2 to get 72000.

$$\frac{50000+72000}{3,6\times 10^{9}+10^{4}}$$

Add 50000 and 72000 to get 122000.

$$\frac{122000}{3,6\times 10^{9}+10^{4}}$$

Calculate 10 to the power of 9 and get 1000000000.

$$\frac{122000}{3,6\times 1000000000+10^{4}}$$

Multiply 3,6 and 1000000000 to get 3600000000.

$$\frac{122000}{3600000000+10^{4}}$$

Calculate 10 to the power of 4 and get 10000.

$$\frac{122000}{3600000000+10000}$$

Add 3600000000 and 10000 to get 3600010000.

$$\frac{122000}{3600010000}$$

Reduce the fraction \frac{122000}{3600010000} to lowest terms by extracting and canceling out 2000.

$$\frac{61}{1800005}$$

Factor

$$\frac{61}{5 \cdot 157 \cdot 2293} = 3.3888794753347904 \times 10^{-5}$$