Solve 1/0.693(100)(10000^2+2*10000)

$$\frac{ 1 }{ 0.693(100)( { 10000 }^{ 2 } +2 \times 10000) }$$

Evaluate

$$\frac{1}{6931386000}\approx 1.4427129 \cdot 10^{-10}$$

Solution Steps

Multiply 0.693 and 100 to get 69.3.

$$\frac{1}{69.3\left(10000^{2}+2\times 10000\right)}$$

Calculate 10000 to the power of 2 and get 100000000.

$$\frac{1}{69.3\left(100000000+2\times 10000\right)}$$

Multiply 2 and 10000 to get 20000.

$$\frac{1}{69.3\left(100000000+20000\right)}$$

Add 100000000 and 20000 to get 100020000.

$$\frac{1}{69.3\times 100020000}$$

Multiply 69.3 and 100020000 to get 6931386000.

$$\frac{1}{6931386000}$$

Factor

$$\frac{1}{7 \cdot 11 \cdot 1667 \cdot 2 ^ {4} \cdot 3 ^ {3} \cdot 5 ^ {3}} = 1.4427129004213586 \times 10^{-10}$$