Solve 4^10/4^11-4^10

$$\frac { 4 ^ { 10 } } { 4 ^ { 11 } - 4 ^ { 10 } }$$

Evaluate

$$\frac{1}{3}\approx 0.333333333$$

Solution Steps

Calculate 4 to the power of 10 and get 1048576.

$$\frac{1048576}{4^{11}-4^{10}}$$

Calculate 4 to the power of 11 and get 4194304.

$$\frac{1048576}{4194304-4^{10}}$$

Calculate 4 to the power of 10 and get 1048576.

$$\frac{1048576}{4194304-1048576}$$

Subtract 1048576 from 4194304 to get 3145728.

$$\frac{1048576}{3145728}$$

Reduce the fraction \frac{1048576}{3145728} to lowest terms by extracting and canceling out 1048576.

$$\frac{1}{3}$$

Factor

$$\frac{1}{3} = 0.3333333333333333$$