Solve .0218(9)^4-0.384(9)^3+2.37(9)^2-5.96(9)+64.

$$.0218 ( 9 ) ^ { 4 } - 0.384 ( 9 ) ^ { 3 } + 2.37 ( 9 ) ^ { 2 } - 5.96 ( 9 ) + 64 .$$

Evaluate

$$65.4238$$

Solution Steps

Calculate 9 to the power of 4 and get 6561.

$$0.0218\times 6561-0.384\times 9^{3}+2.37\times 9^{2}-5.96\times 9+64$$

Multiply 0.0218 and 6561 to get 143.0298.

$$143.0298-0.384\times 9^{3}+2.37\times 9^{2}-5.96\times 9+64$$

Calculate 9 to the power of 3 and get 729.

$$143.0298-0.384\times 729+2.37\times 9^{2}-5.96\times 9+64$$

Multiply 0.384 and 729 to get 279.936.

$$143.0298-279.936+2.37\times 9^{2}-5.96\times 9+64$$

Subtract 279.936 from 143.0298 to get -136.9062.

$$-136.9062+2.37\times 9^{2}-5.96\times 9+64$$

Calculate 9 to the power of 2 and get 81.

$$-136.9062+2.37\times 81-5.96\times 9+64$$

Multiply 2.37 and 81 to get 191.97.

$$-136.9062+191.97-5.96\times 9+64$$

Add -136.9062 and 191.97 to get 55.0638.

$$55.0638-5.96\times 9+64$$

Multiply 5.96 and 9 to get 53.64.

$$55.0638-53.64+64$$

Subtract 53.64 from 55.0638 to get 1.4238.

$$1.4238+64$$

Add 1.4238 and 64 to get 65.4238.

$$65.4238$$

Factor

$$\frac{13 \cdot 25163}{2 ^ {3} \cdot 5 ^ {4}} = 65\frac{2119}{5000} = 65.4238$$