Solve 25^2*10^-6*5^-2

$$25 ^ { 2 } \times 10 ^ { - 6 } \times 5 ^ { - 2 }$$

Evaluate

$$\frac{1}{40000}=0.000025$$

Solution Steps

Calculate 25 to the power of 2 and get 625.

$$625\times 10^{-6}\times 5^{-2}$$

Calculate 10 to the power of -6 and get \frac{1}{1000000}.

$$625\times \frac{1}{1000000}\times 5^{-2}$$

Multiply 625 and \frac{1}{1000000} to get \frac{1}{1600}.

$$\frac{1}{1600}\times 5^{-2}$$

Calculate 5 to the power of -2 and get \frac{1}{25}.

$$\frac{1}{1600}\times \frac{1}{25}$$

Multiply \frac{1}{1600} and \frac{1}{25} to get \frac{1}{40000}.

$$\frac{1}{40000}$$

Factor

$$\frac{1}{2 ^ {6} \cdot 5 ^ {4}} = 2.5 \times 10^{-5}$$