Solve (-3)^3:|-9|+(-7)^2*2

$$( - 3 ) ^ { 3 } : | - 9 | + ( - 7 ) ^ { 2 } \cdot 2$$

Evaluate

$$95$$

Solution Steps

Calculate -3 to the power of 3 and get -27.

$$\frac{-27}{|-9|}+\left(-7\right)^{2}\times 2$$

The absolute value of a real number a is a when a\geq 0, or -a when a<0. The absolute value of -9 is 9.

$$\frac{-27}{9}+\left(-7\right)^{2}\times 2$$

Divide -27 by 9 to get -3.

$$-3+\left(-7\right)^{2}\times 2$$

Calculate -7 to the power of 2 and get 49.

$$-3+49\times 2$$

Multiply 49 and 2 to get 98.

$$-3+98$$

Add -3 and 98 to get 95.

$$95$$

Factor

$$5\times 19$$