Solve (2.18*10^-2)^2

$$( 2.18 \times 10 ^ { - 2 } ) ^ { 2 }$$

Evaluate

$$0.00047524$$

Solution Steps

Calculate 10 to the power of -2 and get \frac{1}{100}.

$$\left(2.18\times \frac{1}{100}\right)^{2}$$

Multiply 2.18 and \frac{1}{100} to get \frac{109}{5000}.

$$\left(\frac{109}{5000}\right)^{2}$$

Calculate \frac{109}{5000} to the power of 2 and get \frac{11881}{25000000}.

$$\frac{11881}{25000000}$$

Factor

$$\frac{109 ^ {2}}{2 ^ {6} \cdot 5 ^ {8}} = 0.00047524$$