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

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

Evaluate

$$61.2256$$

Solution Steps

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

$$6\times 13.0321-3\times 1.9^{3}+1.9^{2}$$

Multiply 6 and 13.0321 to get 78.1926.

$$78.1926-3\times 1.9^{3}+1.9^{2}$$

Calculate 1.9 to the power of 3 and get 6.859.

$$78.1926-3\times 6.859+1.9^{2}$$

Multiply 3 and 6.859 to get 20.577.

$$78.1926-20.577+1.9^{2}$$

Subtract 20.577 from 78.1926 to get 57.6156.

$$57.6156+1.9^{2}$$

Calculate 1.9 to the power of 2 and get 3.61.

$$57.6156+3.61$$

Add 57.6156 and 3.61 to get 61.2256.

$$61.2256$$

Factor

$$\frac{2 \cdot 53 \cdot 19 ^ {2}}{5 ^ {4}} = 61\frac{141}{625} = 61.2256$$