Solve 1/2*(left(3.10right)^8)(1.29*10^-7/0.44)

$$\frac{ 1 }{ 2 } \times ( { \left(3.10 \right) }^{ 8 } )( \frac{ 1.29 \times { 10 }^{ -7 } }{ 0.44 } )$$

Evaluate

$$\frac{110022943829889}{88000000000000000}\approx 0.001250261$$

Solution Steps

Calculate 3.1 to the power of 8 and get 8528.91037441.

$$\frac{1}{2}\times 8528.91037441\times \frac{1.29\times 10^{-7}}{0.44}$$

Multiply \frac{1}{2} and 8528.91037441 to get \frac{852891037441}{200000000}.

$$\frac{852891037441}{200000000}\times \frac{1.29\times 10^{-7}}{0.44}$$

Calculate 10 to the power of -7 and get \frac{1}{10000000}.

$$\frac{852891037441}{200000000}\times \frac{1.29\times \frac{1}{10000000}}{0.44}$$

Multiply 1.29 and \frac{1}{10000000} to get \frac{129}{1000000000}.

$$\frac{852891037441}{200000000}\times \frac{\frac{129}{1000000000}}{0.44}$$

Express \frac{\frac{129}{1000000000}}{0.44} as a single fraction.

$$\frac{852891037441}{200000000}\times \frac{129}{1000000000\times 0.44}$$

Multiply 1000000000 and 0.44 to get 440000000.

$$\frac{852891037441}{200000000}\times \frac{129}{440000000}$$

Multiply \frac{852891037441}{200000000} and \frac{129}{440000000} to get \frac{110022943829889}{88000000000000000}.

$$\frac{110022943829889}{88000000000000000}$$

Factor

$$\frac{3 \cdot 43 \cdot 31 ^ {8}}{11 \cdot 2 ^ {18} \cdot 5 ^ {15}} = 0.0012502607253396477$$