Solve 3579610^6/250*465^237

$$\frac{ 35796 { 10 }^{ 6 } }{ 250 \times { 465 }^{ 2 } 37 }$$

Evaluate

$$\frac{1909120}{106671}\approx 17.897272923$$

Solution Steps

Cancel out 2 in both numerator and denominator.

$$\frac{17898\times 10^{6}}{37\times 125\times 465^{2}}$$

Calculate 10 to the power of 6 and get 1000000.

$$\frac{17898\times 1000000}{37\times 125\times 465^{2}}$$

Multiply 17898 and 1000000 to get 17898000000.

$$\frac{17898000000}{37\times 125\times 465^{2}}$$

Multiply 37 and 125 to get 4625.

$$\frac{17898000000}{4625\times 465^{2}}$$

Calculate 465 to the power of 2 and get 216225.

$$\frac{17898000000}{4625\times 216225}$$

Multiply 4625 and 216225 to get 1000040625.

$$\frac{17898000000}{1000040625}$$

Reduce the fraction \frac{17898000000}{1000040625} to lowest terms by extracting and canceling out 9375.

$$\frac{1909120}{106671}$$

Factor

$$\frac{2 ^ {7} \cdot 5 \cdot 19 \cdot 157}{3 \cdot 31 ^ {2} \cdot 37} = 17\frac{95713}{106671} = 17.897272923287492$$