Solve 260*10^6/1.0*14.3*250*4.60^2=

$$\frac { 260 \times 10 ^ { 6 } } { 1.0 \times 14.3 \times 250 \times 4.60 ^ { 2 } } =$$

Evaluate

$$\frac{20000000}{5819}\approx 3437.016669531$$

Solution Steps

Cancel out 10 in both numerator and denominator.

$$\frac{26\times 10^{6}}{14.3\times 25\times 4.6^{2}}$$

Calculate 10 to the power of 6 and get 1000000.

$$\frac{26\times 1000000}{14.3\times 25\times 4.6^{2}}$$

Multiply 26 and 1000000 to get 26000000.

$$\frac{26000000}{14.3\times 25\times 4.6^{2}}$$

Multiply 14.3 and 25 to get 357.5.

$$\frac{26000000}{357.5\times 4.6^{2}}$$

Calculate 4.6 to the power of 2 and get 21.16.

$$\frac{26000000}{357.5\times 21.16}$$

Multiply 357.5 and 21.16 to get 7564.7.

$$\frac{26000000}{7564.7}$$

Expand \frac{26000000}{7564.7} by multiplying both numerator and the denominator by 10.

$$\frac{260000000}{75647}$$

Reduce the fraction \frac{260000000}{75647} to lowest terms by extracting and canceling out 13.

$$\frac{20000000}{5819}$$

Factor

$$\frac{2 ^ {8} \cdot 5 ^ {7}}{11 \cdot 23 ^ {2}} = 3437\frac{97}{5819} = 3437.016669530847$$