Solve h(-1.90)=6(-1.90)^4-3(1.90)^3+6(-1.9)^2

$$h ( - 1.90 ) = 6 ( - 1.90 ) ^ { 4 } - 3 ( 1.90 ) ^ { 3 } + 6 ( - 1.9 ) ^ { 2 }$$

Evaluate

$$79.2756$$

Solution Steps

Calculate -1.9 to the power of 4 and get 13.0321.

$$6\times 13.0321-3\times 1.9^{3}+6\left(-1.9\right)^{2}$$

Multiply 6 and 13.0321 to get 78.1926.

$$78.1926-3\times 1.9^{3}+6\left(-1.9\right)^{2}$$

Calculate 1.9 to the power of 3 and get 6.859.

$$78.1926-3\times 6.859+6\left(-1.9\right)^{2}$$

Multiply 3 and 6.859 to get 20.577.

$$78.1926-20.577+6\left(-1.9\right)^{2}$$

Subtract 20.577 from 78.1926 to get 57.6156.

$$57.6156+6\left(-1.9\right)^{2}$$

Calculate -1.9 to the power of 2 and get 3.61.

$$57.6156+6\times 3.61$$

Multiply 6 and 3.61 to get 21.66.

$$57.6156+21.66$$

Add 57.6156 and 21.66 to get 79.2756.

$$79.2756$$

Factor

$$\frac{61 \cdot 3 ^ {2} \cdot 19 ^ {2}}{2 ^ {2} \cdot 5 ^ {4}} = 79\frac{689}{2500} = 79.2756$$