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

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

Evaluate

$$-32$$

Solution Steps

Calculate 4 to the power of 3 and get 64.

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

Calculate 2 to the power of 3 and get 8.

$$\frac{64\left(-12+8\right)}{\left(2\times 3\right)^{2}-5\times 2\times 3+2}$$

Add -12 and 8 to get -4.

$$\frac{64\left(-4\right)}{\left(2\times 3\right)^{2}-5\times 2\times 3+2}$$

Multiply 64 and -4 to get -256.

$$\frac{-256}{\left(2\times 3\right)^{2}-5\times 2\times 3+2}$$

Multiply 2 and 3 to get 6.

$$\frac{-256}{6^{2}-5\times 2\times 3+2}$$

Calculate 6 to the power of 2 and get 36.

$$\frac{-256}{36-5\times 2\times 3+2}$$

Multiply -5 and 2 to get -10.

$$\frac{-256}{36-10\times 3+2}$$

Multiply -10 and 3 to get -30.

$$\frac{-256}{36-30+2}$$

Subtract 30 from 36 to get 6.

$$\frac{-256}{6+2}$$

Add 6 and 2 to get 8.

$$\frac{-256}{8}$$

Divide -256 by 8 to get -32.

$$-32$$

Factor

$$-32$$