Solve 160/6*160/6*15/8*3600

$$\frac { 160 } { 6 } \times \frac { 160 } { 6 } \times \frac { 15 } { 8 } \times 3600$$

Evaluate

$$4800000$$

Solution Steps

Multiply \frac{160}{6} and \frac{160}{6} to get \left(\frac{160}{6}\right)^{2}.

$$\left(\frac{160}{6}\right)^{2}\times \frac{15}{8}\times 3600$$

Reduce the fraction \frac{160}{6} to lowest terms by extracting and canceling out 2.

$$\left(\frac{80}{3}\right)^{2}\times \frac{15}{8}\times 3600$$

Calculate \frac{80}{3} to the power of 2 and get \frac{6400}{9}.

$$\frac{6400}{9}\times \frac{15}{8}\times 3600$$

Multiply \frac{6400}{9} times \frac{15}{8} by multiplying numerator times numerator and denominator times denominator.

$$\frac{6400\times 15}{9\times 8}\times 3600$$

Do the multiplications in the fraction \frac{6400\times 15}{9\times 8}.

$$\frac{96000}{72}\times 3600$$

Reduce the fraction \frac{96000}{72} to lowest terms by extracting and canceling out 24.

$$\frac{4000}{3}\times 3600$$

Express \frac{4000}{3}\times 3600 as a single fraction.

$$\frac{4000\times 3600}{3}$$

Multiply 4000 and 3600 to get 14400000.

$$\frac{14400000}{3}$$

Divide 14400000 by 3 to get 4800000.

$$4800000$$

Factor

$$2^{9}\times 3\times 5^{5}$$