Solve |-15-16-9|*(|-(-45)|+|-9-6|)

$$| - 15 - 16 - 9 | \cdot ( | - ( - 45 ) | + | - 9 - 6 | )$$

Evaluate

$$2400$$

Solution Steps

Subtract 16 from -15 to get -31.

$$|-31-9|\left(|-\left(-45\right)|+|-9-6|\right)$$

Subtract 9 from -31 to get -40.

$$|-40|\left(|-\left(-45\right)|+|-9-6|\right)$$

The absolute value of a real number a is a when a\geq 0, or -a when a<0. The absolute value of -40 is 40.

$$40\left(|-\left(-45\right)|+|-9-6|\right)$$

The opposite of -45 is 45.

$$40\left(|45|+|-9-6|\right)$$

The absolute value of a real number a is a when a\geq 0, or -a when a<0. The absolute value of 45 is 45.

$$40\left(45+|-9-6|\right)$$

Subtract 6 from -9 to get -15.

$$40\left(45+|-15|\right)$$

The absolute value of a real number a is a when a\geq 0, or -a when a<0. The absolute value of -15 is 15.

$$40\left(45+15\right)$$

Add 45 and 15 to get 60.

$$40\times 60$$

Multiply 40 and 60 to get 2400.

$$2400$$

Factor

$$2^{5}\times 3\times 5^{2}$$