Solve [(-4)*(-9)*(-25)]div[(-2)*(-3)*(-5)]

$$[ ( - 4 ) \times ( - 9 ) \times ( - 25 ) ] \div [ ( - 2 ) \times ( - 3 ) \times ( - 5 ) ]$$

Evaluate

$$30$$

Solution Steps

Cancel out 2\times 3\times 5 in both numerator and denominator.

$$\frac{-5\left(-3\right)\left(-2\right)}{-\left(-1\right)\left(-1\right)}$$

Multiply -5 and -3 to get 15.

$$\frac{15\left(-2\right)}{-\left(-1\right)\left(-1\right)}$$

Multiply 15 and -2 to get -30.

$$\frac{-30}{-\left(-1\right)\left(-1\right)}$$

Multiply -1 and -1 to get 1.

$$\frac{-30}{-1}$$

Fraction \frac{-30}{-1} can be simplified to 30 by removing the negative sign from both the numerator and the denominator.

$$30$$

Factor

$$2\times 3\times 5$$