Solve .5*left(.95right)^14*left(.05right)^12

$$.5 \times { \left(.95 \right) }^{ 14 } \times { \left(.05 \right) }^{ 12 }$$

Evaluate

$$0.00000000000000005953063709906370349228382110595703125$$

Solution Steps

Calculate 0.95 to the power of 14 and get 0.4876749791155298590087890625.

$$0.5\times 0.4876749791155298590087890625\times 0.05^{12}$$

Multiply 0.5 and 0.4876749791155298590087890625 to get 0.24383748955776492950439453125.

$$0.24383748955776492950439453125\times 0.05^{12}$$

Calculate 0.05 to the power of 12 and get 0.000000000000000244140625.

$$0.24383748955776492950439453125\times 0.000000000000000244140625$$

Multiply 0.24383748955776492950439453125 and 0.000000000000000244140625 to get 0.00000000000000005953063709906370349228382110595703125.

$$0.00000000000000005953063709906370349228382110595703125$$

Factor

$$\frac{19 ^ {14}}{2 ^ {53} \cdot 5 ^ {26}} = 5.9530637099063695 \times 10^{-17}$$