Solve (15/2)(.15)^2(1-.15)^15-0

$$( \frac { 15 } { 2 } ) ( .15 ) ^ { 2 } ( 1 - .15 ) ^ { 15 - 0 }$$

Evaluate

$$0.01474102447333622482509613037109375$$

Solution Steps

Calculate 0.15 to the power of 2 and get 0.0225.

$$\frac{15}{2}\times 0.0225\left(1-0.15\right)^{15-0}$$

Multiply \frac{15}{2} and 0.0225 to get \frac{27}{160}.

$$\frac{27}{160}\left(1-0.15\right)^{15-0}$$

Subtract 0.15 from 1 to get 0.85.

$$\frac{27}{160}\times 0.85^{15-0}$$

Subtract 0 from 15 to get 15.

$$\frac{27}{160}\times 0.85^{15}$$

Calculate 0.85 to the power of 15 and get 0.087354219101251702667236328125.

$$\frac{27}{160}\times 0.087354219101251702667236328125$$

Multiply \frac{27}{160} and 0.087354219101251702667236328125 to get \frac{77285422390765026411}{5242880000000000000000}.

$$\frac{77285422390765026411}{5242880000000000000000}$$

Factor

$$\frac{3 ^ {3} \cdot 17 ^ {15}}{2 ^ {35} \cdot 5 ^ {16}} = 0.014741024473336225$$