Solve 8*10^4*10^6*0,1(0,14)^4*3,14/180

$$\frac { 8 \cdot 10 ^ { 4 } \cdot 10 ^ { 6 } \cdot 0,1 ( 0,14 ) ^ { 4 } \cdot 3,14 } { 180 }$$

Evaluate

$$\frac{12062624}{225}\approx 53611,662222222$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 4 and 6 to get 10.

$$\frac{8\times 10^{10}\times 0,1\times 0,14^{4}\times 3,14}{180}$$

Calculate 10 to the power of 10 and get 10000000000.

$$\frac{8\times 10000000000\times 0,1\times 0,14^{4}\times 3,14}{180}$$

Multiply 8 and 10000000000 to get 80000000000.

$$\frac{80000000000\times 0,1\times 0,14^{4}\times 3,14}{180}$$

Multiply 80000000000 and 0,1 to get 8000000000.

$$\frac{8000000000\times 0,14^{4}\times 3,14}{180}$$

Calculate 0,14 to the power of 4 and get 0,00038416.

$$\frac{8000000000\times 0,00038416\times 3,14}{180}$$

Multiply 8000000000 and 0,00038416 to get 3073280.

$$\frac{3073280\times 3,14}{180}$$

Multiply 3073280 and 3,14 to get 9650099,2.

$$\frac{9650099,2}{180}$$

Expand \frac{9650099,2}{180} by multiplying both numerator and the denominator by 10.

$$\frac{96500992}{1800}$$

Reduce the fraction \frac{96500992}{1800} to lowest terms by extracting and canceling out 8.

$$\frac{12062624}{225}$$

Factor

$$\frac{157 \cdot 2 ^ {5} \cdot 7 ^ {4}}{3 ^ {2} \cdot 5 ^ {2}} = 53611\frac{149}{225} = 53611.66222222222$$