Solve 1/2*1/3*1/4*1/5*frac{1}{6}*frac{1}{7}*frac{1}{8}*frac{1}{9}*frac{1}{10}=

$$\frac { 1 } { 2 } \times \frac { 1 } { 3 } \times \frac { 1 } { 4 } \times \frac { 1 } { 5 } \times \frac { 1 } { 6 } \times \frac { 1 } { 7 } \times \frac { 1 } { 8 } \times \frac { 1 } { 9 } \times \frac { 1 } { 10 } =$$

Evaluate

$$\frac{1}{3628800}\approx 0.000000276$$

Solution Steps

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

$$\frac{1\times 1}{2\times 3}\times \frac{1}{4}\times \frac{1}{5}\times \frac{1}{6}\times \frac{1}{7}\times \frac{1}{8}\times \frac{1}{9}\times \frac{1}{10}$$

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

$$\frac{1}{6}\times \frac{1}{4}\times \frac{1}{5}\times \frac{1}{6}\times \frac{1}{7}\times \frac{1}{8}\times \frac{1}{9}\times \frac{1}{10}$$

Multiply \frac{1}{6} times \frac{1}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 1}{6\times 4}\times \frac{1}{5}\times \frac{1}{6}\times \frac{1}{7}\times \frac{1}{8}\times \frac{1}{9}\times \frac{1}{10}$$

Do the multiplications in the fraction \frac{1\times 1}{6\times 4}.

$$\frac{1}{24}\times \frac{1}{5}\times \frac{1}{6}\times \frac{1}{7}\times \frac{1}{8}\times \frac{1}{9}\times \frac{1}{10}$$

Multiply \frac{1}{24} times \frac{1}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 1}{24\times 5}\times \frac{1}{6}\times \frac{1}{7}\times \frac{1}{8}\times \frac{1}{9}\times \frac{1}{10}$$

Do the multiplications in the fraction \frac{1\times 1}{24\times 5}.

$$\frac{1}{120}\times \frac{1}{6}\times \frac{1}{7}\times \frac{1}{8}\times \frac{1}{9}\times \frac{1}{10}$$

Multiply \frac{1}{120} times \frac{1}{6} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 1}{120\times 6}\times \frac{1}{7}\times \frac{1}{8}\times \frac{1}{9}\times \frac{1}{10}$$

Do the multiplications in the fraction \frac{1\times 1}{120\times 6}.

$$\frac{1}{720}\times \frac{1}{7}\times \frac{1}{8}\times \frac{1}{9}\times \frac{1}{10}$$

Multiply \frac{1}{720} times \frac{1}{7} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 1}{720\times 7}\times \frac{1}{8}\times \frac{1}{9}\times \frac{1}{10}$$

Do the multiplications in the fraction \frac{1\times 1}{720\times 7}.

$$\frac{1}{5040}\times \frac{1}{8}\times \frac{1}{9}\times \frac{1}{10}$$

Multiply \frac{1}{5040} times \frac{1}{8} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 1}{5040\times 8}\times \frac{1}{9}\times \frac{1}{10}$$

Do the multiplications in the fraction \frac{1\times 1}{5040\times 8}.

$$\frac{1}{40320}\times \frac{1}{9}\times \frac{1}{10}$$

Multiply \frac{1}{40320} times \frac{1}{9} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 1}{40320\times 9}\times \frac{1}{10}$$

Do the multiplications in the fraction \frac{1\times 1}{40320\times 9}.

$$\frac{1}{362880}\times \frac{1}{10}$$

Multiply \frac{1}{362880} times \frac{1}{10} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 1}{362880\times 10}$$

Do the multiplications in the fraction \frac{1\times 1}{362880\times 10}.

$$\frac{1}{3628800}$$

Factor

$$\frac{1}{2 ^ {8} \cdot 3 ^ {4} \cdot 5 ^ {2} \cdot 7} = 2.755731922398589 \times 10^{-7}$$