Solve 1/5*1/5*1/5*4/5*4

$$\frac { 1 } { 5 } \times \frac { 1 } { 5 } \times \frac { 1 } { 5 } \times \frac { 4 } { 5 } \times 4$$

Evaluate

$$\frac{16}{625}=0.0256$$

Solution Steps

Multiply \frac{1}{5} times \frac{1}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 1}{5\times 5}\times \frac{1}{5}\times \frac{4}{5}\times 4$$

Do the multiplications in the fraction \frac{1\times 1}{5\times 5}.

$$\frac{1}{25}\times \frac{1}{5}\times \frac{4}{5}\times 4$$

Multiply \frac{1}{25} times \frac{1}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 1}{25\times 5}\times \frac{4}{5}\times 4$$

Do the multiplications in the fraction \frac{1\times 1}{25\times 5}.

$$\frac{1}{125}\times \frac{4}{5}\times 4$$

Multiply \frac{1}{125} times \frac{4}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 4}{125\times 5}\times 4$$

Do the multiplications in the fraction \frac{1\times 4}{125\times 5}.

$$\frac{4}{625}\times 4$$

Express \frac{4}{625}\times 4 as a single fraction.

$$\frac{4\times 4}{625}$$

Multiply 4 and 4 to get 16.

$$\frac{16}{625}$$

Factor

$$\frac{2 ^ {4}}{5 ^ {4}} = 0.0256$$