Solve 1000^4/1024^4

$$\frac{ { 1000 }^{ 4 } }{ { 1024 }^{ 4 } }$$

Evaluate

$$\frac{244140625}{268435456}\approx 0.909494702$$

Solution Steps

Calculate 1000 to the power of 4 and get 1000000000000.

$$\frac{1000000000000}{1024^{4}}$$

Calculate 1024 to the power of 4 and get 1099511627776.

$$\frac{1000000000000}{1099511627776}$$

Reduce the fraction \frac{1000000000000}{1099511627776} to lowest terms by extracting and canceling out 4096.

$$\frac{244140625}{268435456}$$

Factor

$$\frac{5 ^ {12}}{2 ^ {28}} = 0.9094947017729282$$