Solve 1.6(-1.2)^3-46(-12^2-01-12)

$$1.6 ( - 1.2 ) ^ { 3 } - 46 ( - 12 ^ { 2 } - 01 - 12 )$$

Evaluate

$$7173.2352$$

Solution Steps

Calculate -1.2 to the power of 3 and get -1.728.

$$1.6\left(-1.728\right)-46\left(-12^{2}-0\times 1-12\right)$$

Multiply 1.6 and -1.728 to get -2.7648.

$$-2.7648-46\left(-12^{2}-0\times 1-12\right)$$

Calculate 12 to the power of 2 and get 144.

$$-2.7648-46\left(-144-0\times 1-12\right)$$

Multiply 0 and 1 to get 0.

$$-2.7648-46\left(-144-0-12\right)$$

Subtract 0 from -144 to get -144.

$$-2.7648-46\left(-144-12\right)$$

Subtract 12 from -144 to get -156.

$$-2.7648-46\left(-156\right)$$

Multiply 46 and -156 to get -7176.

$$-2.7648-\left(-7176\right)$$

The opposite of -7176 is 7176.

$$-2.7648+7176$$

Add -2.7648 and 7176 to get 7173.2352.

$$7173.2352$$

Factor

$$\frac{3 \cdot 367 \cdot 509 \cdot 2 ^ {3}}{5 ^ {4}} = 7173\frac{147}{625} = 7173.2352$$