Solve (0.25)(0.25-1)(0.25+1)(0.25-2)(0.25+2)(1.44)/120

$$\frac { ( 0.25 ) ( 0.25 - 1 ) ( 0.25 + 1 ) ( 0.25 - 2 ) ( 0.25 + 2 ) ( 1.44 ) } { 120 }$$

Evaluate

$$0.01107421875$$

Solution Steps

Subtract 1 from 0.25 to get -0.75.

$$\frac{0.25\left(-0.75\right)\left(0.25+1\right)\left(0.25-2\right)\left(0.25+2\right)\times 1.44}{120}$$

Multiply 0.25 and -0.75 to get -0.1875.

$$\frac{-0.1875\left(0.25+1\right)\left(0.25-2\right)\left(0.25+2\right)\times 1.44}{120}$$

Add 0.25 and 1 to get 1.25.

$$\frac{-0.1875\times 1.25\left(0.25-2\right)\left(0.25+2\right)\times 1.44}{120}$$

Multiply -0.1875 and 1.25 to get -0.234375.

$$\frac{-0.234375\left(0.25-2\right)\left(0.25+2\right)\times 1.44}{120}$$

Subtract 2 from 0.25 to get -1.75.

$$\frac{-0.234375\left(-1.75\right)\left(0.25+2\right)\times 1.44}{120}$$

Multiply -0.234375 and -1.75 to get 0.41015625.

$$\frac{0.41015625\left(0.25+2\right)\times 1.44}{120}$$

Add 0.25 and 2 to get 2.25.

$$\frac{0.41015625\times 2.25\times 1.44}{120}$$

Multiply 0.41015625 and 2.25 to get 0.9228515625.

$$\frac{0.9228515625\times 1.44}{120}$$

Multiply 0.9228515625 and 1.44 to get 1.32890625.

$$\frac{1.32890625}{120}$$

Expand \frac{1.32890625}{120} by multiplying both numerator and the denominator by 100000000.

$$\frac{132890625}{12000000000}$$

Reduce the fraction \frac{132890625}{12000000000} to lowest terms by extracting and canceling out 234375.

$$\frac{567}{51200}$$

Factor

$$\frac{7 \cdot 3 ^ {4}}{2 ^ {11} \cdot 5 ^ {2}} = 0.01107421875$$