Solve 9*1,5^-2*2^-2

$$9 \cdot 1,5 ^ { - 2 } \cdot 2 ^ { - 2 }$$

Evaluate

$$\frac{9}{100}=0,09$$

Solution Steps

Multiply 9 and 1 to get 9.

$$9\times 5^{-2}\times 2^{-2}$$

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

$$9\times \frac{1}{25}\times 2^{-2}$$

Multiply 9 and \frac{1}{25} to get \frac{9}{25}.

$$\frac{9}{25}\times 2^{-2}$$

Calculate 2 to the power of -2 and get \frac{1}{4}.

$$\frac{9}{25}\times \frac{1}{4}$$

Multiply \frac{9}{25} and \frac{1}{4} to get \frac{9}{100}.

$$\frac{9}{100}$$

Factor

$$\frac{3 ^ {2}}{2 ^ {2} \cdot 5 ^ {2}} = 0.09$$