Solve left(1-left(1+6right)^-6/6right)

$$\left( 1- \frac{ { \left(1+6 \right) }^{ -6 } }{ 6 } \right)$$

Evaluate

$$\frac{705893}{705894}\approx 0.999998583$$

Solution Steps

Add 1 and 6 to get 7.

$$1-\frac{7^{-6}}{6}$$

Calculate 7 to the power of -6 and get \frac{1}{117649}.

$$1-\frac{\frac{1}{117649}}{6}$$

Express \frac{\frac{1}{117649}}{6} as a single fraction.

$$1-\frac{1}{117649\times 6}$$

Multiply 117649 and 6 to get 705894.

$$1-\frac{1}{705894}$$

Subtract \frac{1}{705894} from 1 to get \frac{705893}{705894}.

$$\frac{705893}{705894}$$

Factor

$$\frac{23 \cdot 47 \cdot 653}{2 \cdot 3 \cdot 7 ^ {6}} = 0.999998583356708$$