Solve 17^2-frac{sqrt[3]{13.824}}{sqrt{64}}+9^3

$${ 17 }^{ 2 } - \frac{ \sqrt[ 3 ]{ 13.824 } }{ \sqrt{ 64 } } + { 9 }^{ 3 }$$

Evaluate

$$1017.7$$

Solution Steps

Calculate 17 to the power of 2 and get 289.

$$289-\frac{\sqrt[3]{13.824}}{\sqrt{64}}+9^{3}$$

Calculate \sqrt[3]{13.824} and get \frac{12}{5}.

$$289-\frac{\frac{12}{5}}{\sqrt{64}}+9^{3}$$

Calculate the square root of 64 and get 8.

$$289-\frac{\frac{12}{5}}{8}+9^{3}$$

Express \frac{\frac{12}{5}}{8} as a single fraction.

$$289-\frac{12}{5\times 8}+9^{3}$$

Multiply 5 and 8 to get 40.

$$289-\frac{12}{40}+9^{3}$$

Reduce the fraction \frac{12}{40} to lowest terms by extracting and canceling out 4.

$$289-\frac{3}{10}+9^{3}$$

Subtract \frac{3}{10} from 289 to get \frac{2887}{10}.

$$\frac{2887}{10}+9^{3}$$

Calculate 9 to the power of 3 and get 729.

$$\frac{2887}{10}+729$$

Add \frac{2887}{10} and 729 to get \frac{10177}{10}.

$$\frac{10177}{10}$$

Factor

$$\frac{10177}{2 \cdot 5} = 1017\frac{7}{10} = 1017.7$$