Solve (1.96^2)(0.5)(0.5)div(0.05^2)

$$( { 1.96 }^{ 2 } )(0.5)(0.5) \div ( { 0.05 }^{ 2 } )$$

Evaluate

$$384.16$$

Solution Steps

Calculate 1.96 to the power of 2 and get 3.8416.

$$\frac{3.8416\times 0.5\times 0.5}{0.05^{2}}$$

Multiply 3.8416 and 0.5 to get 1.9208.

$$\frac{1.9208\times 0.5}{0.05^{2}}$$

Multiply 1.9208 and 0.5 to get 0.9604.

$$\frac{0.9604}{0.05^{2}}$$

Calculate 0.05 to the power of 2 and get 0.0025.

$$\frac{0.9604}{0.0025}$$

Expand \frac{0.9604}{0.0025} by multiplying both numerator and the denominator by 10000.

$$\frac{9604}{25}$$

Factor

$$\frac{2 ^ {2} \cdot 7 ^ {4}}{5 ^ {2}} = 384\frac{4}{25} = 384.16$$