Solve (8^2/12)(2^2/8)(5^2)(6/3^2)

$$( \frac{ { 8 }^{ 2 } }{ 12 } )( \frac{ { 2 }^{ 2 } }{ 8 } )( { 5 }^{ 2 } )( \frac{ 6 }{ { 3 }^{ 2 } } )$$

Evaluate

$$\frac{400}{9}\approx 44.444444444$$

Solution Steps

Calculate 8 to the power of 2 and get 64.

$$\frac{64}{12}\times \frac{2^{2}}{8}\times 5^{2}\times \frac{6}{3^{2}}$$

Reduce the fraction \frac{64}{12} to lowest terms by extracting and canceling out 4.

$$\frac{16}{3}\times \frac{2^{2}}{8}\times 5^{2}\times \frac{6}{3^{2}}$$

Calculate 2 to the power of 2 and get 4.

$$\frac{16}{3}\times \frac{4}{8}\times 5^{2}\times \frac{6}{3^{2}}$$

Reduce the fraction \frac{4}{8} to lowest terms by extracting and canceling out 4.

$$\frac{16}{3}\times \frac{1}{2}\times 5^{2}\times \frac{6}{3^{2}}$$

Multiply \frac{16}{3} times \frac{1}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{16\times 1}{3\times 2}\times 5^{2}\times \frac{6}{3^{2}}$$

Do the multiplications in the fraction \frac{16\times 1}{3\times 2}.

$$\frac{16}{6}\times 5^{2}\times \frac{6}{3^{2}}$$

Reduce the fraction \frac{16}{6} to lowest terms by extracting and canceling out 2.

$$\frac{8}{3}\times 5^{2}\times \frac{6}{3^{2}}$$

Calculate 5 to the power of 2 and get 25.

$$\frac{8}{3}\times 25\times \frac{6}{3^{2}}$$

Express \frac{8}{3}\times 25 as a single fraction.

$$\frac{8\times 25}{3}\times \frac{6}{3^{2}}$$

Multiply 8 and 25 to get 200.

$$\frac{200}{3}\times \frac{6}{3^{2}}$$

Calculate 3 to the power of 2 and get 9.

$$\frac{200}{3}\times \frac{6}{9}$$

Reduce the fraction \frac{6}{9} to lowest terms by extracting and canceling out 3.

$$\frac{200}{3}\times \frac{2}{3}$$

Multiply \frac{200}{3} times \frac{2}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{200\times 2}{3\times 3}$$

Do the multiplications in the fraction \frac{200\times 2}{3\times 3}.

$$\frac{400}{9}$$

Factor

$$\frac{2 ^ {4} \cdot 5 ^ {2}}{3 ^ {2}} = 44\frac{4}{9} = 44.44444444444444$$