Solve 40^-3*3.2div75^-6

$${ 40 }^{ -3 } \times 3.2 \div { 75 }^{ -6 }$$

Evaluate

$$8898925.78125$$

Solution Steps

Calculate 40 to the power of -3 and get \frac{1}{64000}.

$$\frac{\frac{1}{64000}\times 3.2}{75^{-6}}$$

Multiply \frac{1}{64000} and 3.2 to get \frac{1}{20000}.

$$\frac{\frac{1}{20000}}{75^{-6}}$$

Calculate 75 to the power of -6 and get \frac{1}{177978515625}.

$$\frac{\frac{1}{20000}}{\frac{1}{177978515625}}$$

Divide \frac{1}{20000} by \frac{1}{177978515625} by multiplying \frac{1}{20000} by the reciprocal of \frac{1}{177978515625}.

$$\frac{1}{20000}\times 177978515625$$

Multiply \frac{1}{20000} and 177978515625 to get \frac{284765625}{32}.

$$\frac{284765625}{32}$$

Factor

$$\frac{3 ^ {6} \cdot 5 ^ {8}}{2 ^ {5}} = 8898925\frac{25}{32} = 8898925.78125$$