Solve 0.6*0.6*0.6*0.6*0.4*0.4*0.4*0.4*0.4*0.4*0.4*0.4

$$0.6 \times 0.6 \times 0.6 \times 0.6 \times 0.4 \times 0.4 \times 0.4 \times 0.4 \times 0.4 \times 0.4 \times 0.4 \times 0.4$$

Evaluate

$$0.000084934656$$

Solution Steps

Multiply 0.6 and 0.6 to get 0.36.

$$0.36\times 0.6\times 0.6\times 0.4\times 0.4\times 0.4\times 0.4\times 0.4\times 0.4\times 0.4\times 0.4$$

Multiply 0.36 and 0.6 to get 0.216.

$$0.216\times 0.6\times 0.4\times 0.4\times 0.4\times 0.4\times 0.4\times 0.4\times 0.4\times 0.4$$

Multiply 0.216 and 0.6 to get 0.1296.

$$0.1296\times 0.4\times 0.4\times 0.4\times 0.4\times 0.4\times 0.4\times 0.4\times 0.4$$

Multiply 0.1296 and 0.4 to get 0.05184.

$$0.05184\times 0.4\times 0.4\times 0.4\times 0.4\times 0.4\times 0.4\times 0.4$$

Multiply 0.05184 and 0.4 to get 0.020736.

$$0.020736\times 0.4\times 0.4\times 0.4\times 0.4\times 0.4\times 0.4$$

Multiply 0.020736 and 0.4 to get 0.0082944.

$$0.0082944\times 0.4\times 0.4\times 0.4\times 0.4\times 0.4$$

Multiply 0.0082944 and 0.4 to get 0.00331776.

$$0.00331776\times 0.4\times 0.4\times 0.4\times 0.4$$

Multiply 0.00331776 and 0.4 to get 0.001327104.

$$0.001327104\times 0.4\times 0.4\times 0.4$$

Multiply 0.001327104 and 0.4 to get 0.0005308416.

$$0.0005308416\times 0.4\times 0.4$$

Multiply 0.0005308416 and 0.4 to get 0.00021233664.

$$0.00021233664\times 0.4$$

Multiply 0.00021233664 and 0.4 to get 0.000084934656.

$$0.000084934656$$

Factor

$$\frac{2 ^ {8} \cdot 3 ^ {4}}{5 ^ {12}} = 8.4934656 \times 10^{-5}$$