Solve 2*5*49*5/6^3*100*(35)^2

$$\frac { 2 \times 5 \times 49 \times 5 } { 6 ^ { 3 } \times 100 \times ( 35 ) ^ { 2 } }$$

Evaluate

$$\frac{1}{10800}\approx 0.000092593$$

Solution Steps

Cancel out 2\times 5\times 5 in both numerator and denominator.

$$\frac{49}{2\times 6^{3}\times 35^{2}}$$

Calculate 6 to the power of 3 and get 216.

$$\frac{49}{2\times 216\times 35^{2}}$$

Multiply 2 and 216 to get 432.

$$\frac{49}{432\times 35^{2}}$$

Calculate 35 to the power of 2 and get 1225.

$$\frac{49}{432\times 1225}$$

Multiply 432 and 1225 to get 529200.

$$\frac{49}{529200}$$

Reduce the fraction \frac{49}{529200} to lowest terms by extracting and canceling out 49.

$$\frac{1}{10800}$$

Factor

$$\frac{1}{2 ^ {4} \cdot 3 ^ {3} \cdot 5 ^ {2}} = 9.259259259259258 \times 10^{-5}$$