Solve 5/6*5/6*5*5/6*5/6

$$\frac { 5 } { 6 } \times \frac { 5 } { 6 } \times \frac { 5 \times 5 } { 6 } \times \frac { 5 } { 6 }$$

Evaluate

$$\frac{3125}{1296}\approx 2.411265432$$

Solution Steps

Multiply \frac{5}{6} times \frac{5}{6} by multiplying numerator times numerator and denominator times denominator.

$$\frac{5\times 5}{6\times 6}\times \frac{5\times 5}{6}\times \frac{5}{6}$$

Do the multiplications in the fraction \frac{5\times 5}{6\times 6}.

$$\frac{25}{36}\times \frac{5\times 5}{6}\times \frac{5}{6}$$

Multiply 5 and 5 to get 25.

$$\frac{25}{36}\times \frac{25}{6}\times \frac{5}{6}$$

Multiply \frac{25}{36} times \frac{25}{6} by multiplying numerator times numerator and denominator times denominator.

$$\frac{25\times 25}{36\times 6}\times \frac{5}{6}$$

Do the multiplications in the fraction \frac{25\times 25}{36\times 6}.

$$\frac{625}{216}\times \frac{5}{6}$$

Multiply \frac{625}{216} times \frac{5}{6} by multiplying numerator times numerator and denominator times denominator.

$$\frac{625\times 5}{216\times 6}$$

Do the multiplications in the fraction \frac{625\times 5}{216\times 6}.

$$\frac{3125}{1296}$$

Factor

$$\frac{5 ^ {5}}{2 ^ {4} \cdot 3 ^ {4}} = 2\frac{533}{1296} = 2.4112654320987654$$