Solve 8^-2*27^2*25^-2

$$8 ^ { - 2 } \cdot 27 ^ { 2 } \cdot 25 ^ { - 2 }$$

Evaluate

$$\frac{729}{40000}=0.018225$$

Solution Steps

Calculate 8 to the power of -2 and get \frac{1}{64}.

$$\frac{1}{64}\times 27^{2}\times 25^{-2}$$

Calculate 27 to the power of 2 and get 729.

$$\frac{1}{64}\times 729\times 25^{-2}$$

Multiply \frac{1}{64} and 729 to get \frac{729}{64}.

$$\frac{729}{64}\times 25^{-2}$$

Calculate 25 to the power of -2 and get \frac{1}{625}.

$$\frac{729}{64}\times \frac{1}{625}$$

Multiply \frac{729}{64} and \frac{1}{625} to get \frac{729}{40000}.

$$\frac{729}{40000}$$

Factor

$$\frac{3 ^ {6}}{2 ^ {6} \cdot 5 ^ {4}} = 0.018225$$