Solve 42.1230.331^20.331+158.3250.331^2+13.8*0.331

$$42.123 { 0.331 }^{ 2 } 0.331+158.325 { 0.331 }^{ 2 } +13.8 \times 0.331$$

Evaluate

$$23.441622903993$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 2 and 1 to get 3.

$$42.123\times 0.331^{3}+158.325\times 0.331^{2}+13.8\times 0.331$$

Calculate 0.331 to the power of 3 and get 0.036264691.

$$42.123\times 0.036264691+158.325\times 0.331^{2}+13.8\times 0.331$$

Multiply 42.123 and 0.036264691 to get 1.527577578993.

$$1.527577578993+158.325\times 0.331^{2}+13.8\times 0.331$$

Calculate 0.331 to the power of 2 and get 0.109561.

$$1.527577578993+158.325\times 0.109561+13.8\times 0.331$$

Multiply 158.325 and 0.109561 to get 17.346245325.

$$1.527577578993+17.346245325+13.8\times 0.331$$

Add 1.527577578993 and 17.346245325 to get 18.873822903993.

$$18.873822903993+13.8\times 0.331$$

Multiply 13.8 and 0.331 to get 4.5678.

$$18.873822903993+4.5678$$

Add 18.873822903993 and 4.5678 to get 23.441622903993.

$$23.441622903993$$

Factor

$$\frac{3 \cdot 7 \cdot 331 \cdot 3372410143}{2 ^ {12} \cdot 5 ^ {12}} = 23\frac{441622903993}{1000000000000} = 23.441622903993$$