Solve 1/2100020^21/4.18

$$\frac{ 1 }{ 2 } 1000 { 20 }^{ 2 } \frac{ 1 }{ 4.18 }$$

Evaluate

$$\frac{10000000}{209}\approx 47846.889952153$$

Solution Steps

Multiply \frac{1}{2} and 1000 to get \frac{1000}{2}.

$$\frac{1000}{2}\times 20^{2}\times \frac{1}{4.18}$$

Divide 1000 by 2 to get 500.

$$500\times 20^{2}\times \frac{1}{4.18}$$

Calculate 20 to the power of 2 and get 400.

$$500\times 400\times \frac{1}{4.18}$$

Multiply 500 and 400 to get 200000.

$$200000\times \frac{1}{4.18}$$

Expand \frac{1}{4.18} by multiplying both numerator and the denominator by 100.

$$200000\times \frac{100}{418}$$

Reduce the fraction \frac{100}{418} to lowest terms by extracting and canceling out 2.

$$200000\times \frac{50}{209}$$

Express 200000\times \frac{50}{209} as a single fraction.

$$\frac{200000\times 50}{209}$$

Multiply 200000 and 50 to get 10000000.

$$\frac{10000000}{209}$$

Factor

$$\frac{2 ^ {7} \cdot 5 ^ {7}}{11 \cdot 19} = 47846\frac{186}{209} = 47846.88995215311$$