Solve 0.8^11-0.8^12/0.8^11e

$$\frac { 0.8 ^ { 11 } - 0.8 ^ { 12 } } { 0.8 ^ { 11 } } e$$

Evaluate

$$\frac{e}{5}\approx 0.543656366$$

Solution Steps

Calculate 0.8 to the power of 11 and get 0.08589934592.

$$\frac{0.08589934592-0.8^{12}}{0.8^{11}}e$$

Calculate 0.8 to the power of 12 and get 0.068719476736.

$$\frac{0.08589934592-0.068719476736}{0.8^{11}}e$$

Subtract 0.068719476736 from 0.08589934592 to get 0.017179869184.

$$\frac{0.017179869184}{0.8^{11}}e$$

Calculate 0.8 to the power of 11 and get 0.08589934592.

$$\frac{0.017179869184}{0.08589934592}e$$

Expand \frac{0.017179869184}{0.08589934592} by multiplying both numerator and the denominator by 1000000000000.

$$\frac{17179869184}{85899345920}e$$

Reduce the fraction \frac{17179869184}{85899345920} to lowest terms by extracting and canceling out 17179869184.

$$\frac{1}{5}e$$

Expand

$$\frac{e}{5}$$

Solution Steps

Calculate 0.8 to the power of 11 and get 0.08589934592.

$$\frac{0.08589934592-0.8^{12}}{0.8^{11}}e$$

Calculate 0.8 to the power of 12 and get 0.068719476736.

$$\frac{0.08589934592-0.068719476736}{0.8^{11}}e$$

Subtract 0.068719476736 from 0.08589934592 to get 0.017179869184.

$$\frac{0.017179869184}{0.8^{11}}e$$

Calculate 0.8 to the power of 11 and get 0.08589934592.

$$\frac{0.017179869184}{0.08589934592}e$$

Expand \frac{0.017179869184}{0.08589934592} by multiplying both numerator and the denominator by 1000000000000.

$$\frac{17179869184}{85899345920}e$$

Reduce the fraction \frac{17179869184}{85899345920} to lowest terms by extracting and canceling out 17179869184.

$$\frac{1}{5}e$$