Solve 200(62*66/100-34*38)^2

$$200 ( 62 \times \frac { 66 } { 100 } - 34 \times 38 ) ^ { 2 }$$

Evaluate

$$\frac{7826005832}{25}=313040233.28$$

Solution Steps

Reduce the fraction \frac{66}{100} to lowest terms by extracting and canceling out 2.

$$200\left(62\times \frac{33}{50}-34\times 38\right)^{2}$$

Multiply 62 and \frac{33}{50} to get \frac{1023}{25}.

$$200\left(\frac{1023}{25}-34\times 38\right)^{2}$$

Multiply 34 and 38 to get 1292.

$$200\left(\frac{1023}{25}-1292\right)^{2}$$

Subtract 1292 from \frac{1023}{25} to get -\frac{31277}{25}.

$$200\left(-\frac{31277}{25}\right)^{2}$$

Calculate -\frac{31277}{25} to the power of 2 and get \frac{978250729}{625}.

$$200\times \frac{978250729}{625}$$

Multiply 200 and \frac{978250729}{625} to get \frac{7826005832}{25}.

$$\frac{7826005832}{25}$$

Factor

$$\frac{2 ^ {3} \cdot 31277 ^ {2}}{5 ^ {2}} = 313040233\frac{7}{25} = 313040233.28$$