Solve 1/9*9*9*9*9*9*9*9*9*9

$$\frac { 1 } { 9 \times 9 \times 9 \times 9 \times 9 \times 9 \times 9 \times 9 \times 9 \times 9 }$$

Evaluate

$$\frac{1}{3486784401}\approx 2.867971991 \cdot 10^{-10}$$

Solution Steps

Multiply 9 and 9 to get 81.

$$\frac{1}{81\times 9\times 9\times 9\times 9\times 9\times 9\times 9\times 9}$$

Multiply 81 and 9 to get 729.

$$\frac{1}{729\times 9\times 9\times 9\times 9\times 9\times 9\times 9}$$

Multiply 729 and 9 to get 6561.

$$\frac{1}{6561\times 9\times 9\times 9\times 9\times 9\times 9}$$

Multiply 6561 and 9 to get 59049.

$$\frac{1}{59049\times 9\times 9\times 9\times 9\times 9}$$

Multiply 59049 and 9 to get 531441.

$$\frac{1}{531441\times 9\times 9\times 9\times 9}$$

Multiply 531441 and 9 to get 4782969.

$$\frac{1}{4782969\times 9\times 9\times 9}$$

Multiply 4782969 and 9 to get 43046721.

$$\frac{1}{43046721\times 9\times 9}$$

Multiply 43046721 and 9 to get 387420489.

$$\frac{1}{387420489\times 9}$$

Multiply 387420489 and 9 to get 3486784401.

$$\frac{1}{3486784401}$$

Factor

$$\frac{1}{3 ^ {20}} = 2.8679719907924413 \times 10^{-10}$$