Solve .0218(9)^4-0.384(9)^3+2.37(9)^2-5.96(9)+64.3^2

$$.0218 ( 9 ) ^ { 4 } - 0.384 ( 9 ) ^ { 3 } + 2.37 ( 9 ) ^ { 2 } - 5.96 ( 9 ) + 64.3 ^ { 2 }$$

Evaluate

$$4135.9138$$

Solution Steps

Calculate 9 to the power of 4 and get 6561.

$$0.0218\times 6561-0.384\times 9^{3}+2.37\times 9^{2}-5.96\times 9+64.3^{2}$$

Multiply 0.0218 and 6561 to get 143.0298.

$$143.0298-0.384\times 9^{3}+2.37\times 9^{2}-5.96\times 9+64.3^{2}$$

Calculate 9 to the power of 3 and get 729.

$$143.0298-0.384\times 729+2.37\times 9^{2}-5.96\times 9+64.3^{2}$$

Multiply 0.384 and 729 to get 279.936.

$$143.0298-279.936+2.37\times 9^{2}-5.96\times 9+64.3^{2}$$

Subtract 279.936 from 143.0298 to get -136.9062.

$$-136.9062+2.37\times 9^{2}-5.96\times 9+64.3^{2}$$

Calculate 9 to the power of 2 and get 81.

$$-136.9062+2.37\times 81-5.96\times 9+64.3^{2}$$

Multiply 2.37 and 81 to get 191.97.

$$-136.9062+191.97-5.96\times 9+64.3^{2}$$

Add -136.9062 and 191.97 to get 55.0638.

$$55.0638-5.96\times 9+64.3^{2}$$

Multiply 5.96 and 9 to get 53.64.

$$55.0638-53.64+64.3^{2}$$

Subtract 53.64 from 55.0638 to get 1.4238.

$$1.4238+64.3^{2}$$

Calculate 64.3 to the power of 2 and get 4134.49.

$$1.4238+4134.49$$

Add 1.4238 and 4134.49 to get 4135.9138.

$$4135.9138$$

Factor

$$\frac{107 \cdot 157 \cdot 1231}{2 ^ {3} \cdot 5 ^ {4}} = 4135\frac{4569}{5000} = 4135.9138$$