Solve 10!/9!*0.2*0.8^9

$$\frac { 10 ! } { 9 ! } \times 0.2 \times 0.8 ^ { 9 }$$

Evaluate

$$0.268435456$$

Solution Steps

The factorial of 10 is 3628800.

$$\frac{3628800}{9!}\times 0.2\times 0.8^{9}$$

The factorial of 9 is 362880.

$$\frac{3628800}{362880}\times 0.2\times 0.8^{9}$$

Divide 3628800 by 362880 to get 10.

$$10\times 0.2\times 0.8^{9}$$

Multiply 10 and 0.2 to get 2.

$$2\times 0.8^{9}$$

Calculate 0.8 to the power of 9 and get 0.134217728.

$$2\times 0.134217728$$

Multiply 2 and 0.134217728 to get 0.268435456.

$$0.268435456$$

Factor

$$\frac{2 ^ {19}}{5 ^ {9}} = 0.268435456$$