Solve 13-(-17)+sqrt{81}:3^2-sqrt[3]{-216}

$$13 - ( - 17 ) + \sqrt { 81 } : 3 ^ { 2 } - \sqrt[ 3 ] { - 216 }$$

Evaluate

$$37$$

Solution Steps

The opposite of -17 is 17.

$$13+17+\frac{\sqrt{81}}{3^{2}}-\sqrt[3]{-216}$$

Add 13 and 17 to get 30.

$$30+\frac{\sqrt{81}}{3^{2}}-\sqrt[3]{-216}$$

Calculate the square root of 81 and get 9.

$$30+\frac{9}{3^{2}}-\sqrt[3]{-216}$$

Calculate 3 to the power of 2 and get 9.

$$30+\frac{9}{9}-\sqrt[3]{-216}$$

Divide 9 by 9 to get 1.

$$30+1-\sqrt[3]{-216}$$

Add 30 and 1 to get 31.

$$31-\sqrt[3]{-216}$$

Calculate \sqrt[3]{-216} and get -6.

$$31-\left(-6\right)$$

The opposite of -6 is 6.

$$31+6$$

Add 31 and 6 to get 37.

$$37$$

Factor

$$37$$