Solve 20*19*18*17/4*3*20.01^40.99^16

$$\frac{ 20 \cdot 19 \cdot 18 \cdot 17 }{ 4 \cdot 3 \cdot 2 } { 0.01 }^{ 4 } { 0.99 }^{ 16 }$$

Evaluate

$$0.0000412531290095467247408009482606252845$$

Solution Steps

Cancel out 2\times 3\times 4 in both numerator and denominator.

$$3\times 5\times 17\times 19\times 0.01^{4}\times 0.99^{16}$$

Multiply 3 and 5 to get 15.

$$15\times 17\times 19\times 0.01^{4}\times 0.99^{16}$$

Multiply 15 and 17 to get 255.

$$255\times 19\times 0.01^{4}\times 0.99^{16}$$

Multiply 255 and 19 to get 4845.

$$4845\times 0.01^{4}\times 0.99^{16}$$

Calculate 0.01 to the power of 4 and get 0.00000001.

$$4845\times 0.00000001\times 0.99^{16}$$

Multiply 4845 and 0.00000001 to get 0.00004845.

$$0.00004845\times 0.99^{16}$$

Calculate 0.99 to the power of 16 and get 0.85145777109487563964501441198401.

$$0.00004845\times 0.85145777109487563964501441198401$$

Multiply 0.00004845 and 0.85145777109487563964501441198401 to get 0.0000412531290095467247408009482606252845.

$$0.0000412531290095467247408009482606252845$$

Factor

$$\frac{17 \cdot 19 \cdot 3 ^ {33} \cdot 11 ^ {16}}{2 ^ {40} \cdot 5 ^ {39}} = 4.125312900954672 \times 10^{-5}$$