Solve 4^3(-12+2^3)/5(2)^2

$$\frac { 4 ^ { 3 } ( - 12 + 2 ^ { 3 } ) } { 5 ( 2 ) ^ { 2 } }$$

Evaluate

$$-\frac{64}{5}=-12.8$$

Solution Steps

Calculate 4 to the power of 3 and get 64.

$$\frac{64\left(-12+2^{3}\right)}{5\times 2^{2}}$$

Calculate 2 to the power of 3 and get 8.

$$\frac{64\left(-12+8\right)}{5\times 2^{2}}$$

Add -12 and 8 to get -4.

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

Multiply 64 and -4 to get -256.

$$\frac{-256}{5\times 2^{2}}$$

Calculate 2 to the power of 2 and get 4.

$$\frac{-256}{5\times 4}$$

Multiply 5 and 4 to get 20.

$$\frac{-256}{20}$$

Reduce the fraction \frac{-256}{20} to lowest terms by extracting and canceling out 4.

$$-\frac{64}{5}$$

Factor

$$-\frac{64}{5} = -12\frac{4}{5} = -12.8$$