Solve .019*21div400*600*452^2

$$.019 \times 21 \div 400 \times 600 \times { 452 }^{ 2 }$$

Evaluate

$$122275.944$$

Solution Steps

Multiply 0.019 and 21 to get 0.399.

$$\frac{0.399}{400}\times 600\times 452^{2}$$

Expand \frac{0.399}{400} by multiplying both numerator and the denominator by 1000.

$$\frac{399}{400000}\times 600\times 452^{2}$$

Express \frac{399}{400000}\times 600 as a single fraction.

$$\frac{399\times 600}{400000}\times 452^{2}$$

Multiply 399 and 600 to get 239400.

$$\frac{239400}{400000}\times 452^{2}$$

Reduce the fraction \frac{239400}{400000} to lowest terms by extracting and canceling out 200.

$$\frac{1197}{2000}\times 452^{2}$$

Calculate 452 to the power of 2 and get 204304.

$$\frac{1197}{2000}\times 204304$$

Express \frac{1197}{2000}\times 204304 as a single fraction.

$$\frac{1197\times 204304}{2000}$$

Multiply 1197 and 204304 to get 244551888.

$$\frac{244551888}{2000}$$

Reduce the fraction \frac{244551888}{2000} to lowest terms by extracting and canceling out 16.

$$\frac{15284493}{125}$$

Factor

$$\frac{7 \cdot 19 \cdot 3 ^ {2} \cdot 113 ^ {2}}{5 ^ {3}} = 122275\frac{118}{125} = 122275.944$$