Solve 10*10^3*5+36*10^4*2/36*10^9+10*10^3

$$\frac { 10 \times 10 ^ { 3 } \times 5 + 36 \times 10 ^ { 4 } \times 2 } { 36 \times 10 ^ { 9 } + 10 \times 10 ^ { 3 } }$$

Evaluate

$$\frac{77}{3600001}\approx 0.000021389$$

Solution Steps

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

$$\frac{10^{4}\times 5+36\times 10^{4}\times 2}{36\times 10^{9}+10\times 10^{3}}$$

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

$$\frac{10^{4}\times 5+36\times 10^{4}\times 2}{36\times 10^{9}+10^{4}}$$

Calculate 10 to the power of 4 and get 10000.

$$\frac{10000\times 5+36\times 10^{4}\times 2}{36\times 10^{9}+10^{4}}$$

Multiply 10000 and 5 to get 50000.

$$\frac{50000+36\times 10^{4}\times 2}{36\times 10^{9}+10^{4}}$$

Calculate 10 to the power of 4 and get 10000.

$$\frac{50000+36\times 10000\times 2}{36\times 10^{9}+10^{4}}$$

Multiply 36 and 10000 to get 360000.

$$\frac{50000+360000\times 2}{36\times 10^{9}+10^{4}}$$

Multiply 360000 and 2 to get 720000.

$$\frac{50000+720000}{36\times 10^{9}+10^{4}}$$

Add 50000 and 720000 to get 770000.

$$\frac{770000}{36\times 10^{9}+10^{4}}$$

Calculate 10 to the power of 9 and get 1000000000.

$$\frac{770000}{36\times 1000000000+10^{4}}$$

Multiply 36 and 1000000000 to get 36000000000.

$$\frac{770000}{36000000000+10^{4}}$$

Calculate 10 to the power of 4 and get 10000.

$$\frac{770000}{36000000000+10000}$$

Add 36000000000 and 10000 to get 36000010000.

$$\frac{770000}{36000010000}$$

Reduce the fraction \frac{770000}{36000010000} to lowest terms by extracting and canceling out 10000.

$$\frac{77}{3600001}$$

Factor

$$\frac{7 \cdot 11}{3600001} = 2.1388882947532513 \times 10^{-5}$$