Solve 0.9*0.9*0.9*0.9*0.9*0.9*0.9

$$0.9 \cdot 0.9 \cdot 0.9 \cdot 0.9 \cdot 0.9 \cdot 0.9 \times 0.9$$

Evaluate

$$0.4782969$$

Solution Steps

Multiply 0.9 and 0.9 to get 0.81.

$$0.81\times 0.9\times 0.9\times 0.9\times 0.9\times 0.9$$

Multiply 0.81 and 0.9 to get 0.729.

$$0.729\times 0.9\times 0.9\times 0.9\times 0.9$$

Multiply 0.729 and 0.9 to get 0.6561.

$$0.6561\times 0.9\times 0.9\times 0.9$$

Multiply 0.6561 and 0.9 to get 0.59049.

$$0.59049\times 0.9\times 0.9$$

Multiply 0.59049 and 0.9 to get 0.531441.

$$0.531441\times 0.9$$

Multiply 0.531441 and 0.9 to get 0.4782969.

$$0.4782969$$

Factor

$$\frac{3 ^ {14}}{2 ^ {7} \cdot 5 ^ {7}} = 0.4782969$$