Solve 630^3215*1,2*43/10*(198,92)^2=

$$630 ^ { 3 } \frac { 215 \cdot 1,2 \cdot 43 } { 10 \cdot ( 198,92 ) ^ { 2 } } =$$

Evaluate

$$\frac{173376338625000}{24730729}\approx 7010563,199532048$$

Solution Steps

Calculate 630 to the power of 3 and get 250047000.

$$250047000\times \frac{215\times 1,2\times 43}{10\times 198,92^{2}}$$

Cancel out 5 in both numerator and denominator.

$$250047000\times \frac{1,2\times 43\times 43}{2\times 198,92^{2}}$$

Multiply 1,2 and 43 to get 51,6.

$$250047000\times \frac{51,6\times 43}{2\times 198,92^{2}}$$

Multiply 51,6 and 43 to get 2218,8.

$$250047000\times \frac{2218,8}{2\times 198,92^{2}}$$

Calculate 198,92 to the power of 2 and get 39569,1664.

$$250047000\times \frac{2218,8}{2\times 39569,1664}$$

Multiply 2 and 39569,1664 to get 79138,3328.

$$250047000\times \frac{2218,8}{79138,3328}$$

Expand \frac{2218,8}{79138,3328} by multiplying both numerator and the denominator by 10000.

$$250047000\times \frac{22188000}{791383328}$$

Reduce the fraction \frac{22188000}{791383328} to lowest terms by extracting and canceling out 32.

$$250047000\times \frac{693375}{24730729}$$

Express 250047000\times \frac{693375}{24730729} as a single fraction.

$$\frac{250047000\times 693375}{24730729}$$

Multiply 250047000 and 693375 to get 173376338625000.

$$\frac{173376338625000}{24730729}$$

Factor

$$\frac{2 ^ {3} \cdot 3 ^ {7} \cdot 5 ^ {6} \cdot 7 ^ {3} \cdot 43 ^ {2}}{4973 ^ {2}} = 7010563\frac{4934573}{24730729} = 7010563.199532048$$