Solve {[(-4)^3-6^2*(-4)+5*24]:10^2}

$$\{ [ ( - 4 ) ^ { 3 } - 6 ^ { 2 } \cdot ( - 4 ) + 5 \cdot 24 ] : 10 ^ { 2 } \}$$

Evaluate

$$2$$

Solution Steps

Calculate -4 to the power of 3 and get -64.

$$\frac{-64-6^{2}\left(-4\right)+5\times 24}{10^{2}}$$

Calculate 6 to the power of 2 and get 36.

$$\frac{-64-36\left(-4\right)+5\times 24}{10^{2}}$$

Multiply 36 and -4 to get -144.

$$\frac{-64-\left(-144\right)+5\times 24}{10^{2}}$$

The opposite of -144 is 144.

$$\frac{-64+144+5\times 24}{10^{2}}$$

Add -64 and 144 to get 80.

$$\frac{80+5\times 24}{10^{2}}$$

Multiply 5 and 24 to get 120.

$$\frac{80+120}{10^{2}}$$

Add 80 and 120 to get 200.

$$\frac{200}{10^{2}}$$

Calculate 10 to the power of 2 and get 100.

$$\frac{200}{100}$$

Divide 200 by 100 to get 2.

$$2$$

Factor

$$2$$