Solve 24.310^-30.1*(35.5+64)/0.25

$$\frac{ 24.3 { 10 }^{ -3 } 0.1 \cdot (35.5+64) }{ 0.25 }$$

Evaluate

$$0.96714$$

Solution Steps

Calculate 10 to the power of -3 and get \frac{1}{1000}.

$$\frac{24.3\times \frac{1}{1000}\times 0.1\left(35.5+64\right)}{0.25}$$

Multiply 24.3 and \frac{1}{1000} to get \frac{243}{10000}.

$$\frac{\frac{243}{10000}\times 0.1\left(35.5+64\right)}{0.25}$$

Multiply \frac{243}{10000} and 0.1 to get \frac{243}{100000}.

$$\frac{\frac{243}{100000}\left(35.5+64\right)}{0.25}$$

Add 35.5 and 64 to get 99.5.

$$\frac{\frac{243}{100000}\times 99.5}{0.25}$$

Multiply \frac{243}{100000} and 99.5 to get \frac{48357}{200000}.

$$\frac{\frac{48357}{200000}}{0.25}$$

Express \frac{\frac{48357}{200000}}{0.25} as a single fraction.

$$\frac{48357}{200000\times 0.25}$$

Multiply 200000 and 0.25 to get 50000.

$$\frac{48357}{50000}$$

Factor

$$\frac{199 \cdot 3 ^ {5}}{2 ^ {4} \cdot 5 ^ {5}} = 0.96714$$