Solve 12/5*12/5*12/5

$$1 \frac { 2 } { 5 } \times 1 \frac { 2 } { 5 } \times 1 \frac { 2 } { 5 }$$

Evaluate

$$\frac{343}{125}=2.744$$

Solution Steps

Multiply \frac{1\times 5+2}{5} and \frac{1\times 5+2}{5} to get \left(\frac{1\times 5+2}{5}\right)^{2}.

$$\left(\frac{1\times 5+2}{5}\right)^{2}\times \frac{1\times 5+2}{5}$$

To multiply powers of the same base, add their exponents. Add 2 and 1 to get 3.

$$\left(\frac{1\times 5+2}{5}\right)^{3}$$

Multiply 1 and 5 to get 5.

$$\left(\frac{5+2}{5}\right)^{3}$$

Add 5 and 2 to get 7.

$$\left(\frac{7}{5}\right)^{3}$$

Calculate \frac{7}{5} to the power of 3 and get \frac{343}{125}.

$$\frac{343}{125}$$

Factor

$$\frac{7 ^ {3}}{5 ^ {3}} = 2\frac{93}{125} = 2.744$$