Solve (3^2+5^0)div5-(-9+7)^3+sqrt{(-5)^2+22div2}=

$$( 3 ^ { 2 } + 5 ^ { 0 } ) \div 5 - ( - 9 + 7 ) ^ { 3 } + \sqrt { ( - 5 ) ^ { 2 } + 22 \div 2 } =$$

Evaluate

$$16$$

Solution Steps

Calculate 3 to the power of 2 and get 9.

$$\frac{9+5^{0}}{5}-\left(-9+7\right)^{3}+\sqrt{\left(-5\right)^{2}+\frac{22}{2}}$$

Calculate 5 to the power of 0 and get 1.

$$\frac{9+1}{5}-\left(-9+7\right)^{3}+\sqrt{\left(-5\right)^{2}+\frac{22}{2}}$$

Add 9 and 1 to get 10.

$$\frac{10}{5}-\left(-9+7\right)^{3}+\sqrt{\left(-5\right)^{2}+\frac{22}{2}}$$

Divide 10 by 5 to get 2.

$$2-\left(-9+7\right)^{3}+\sqrt{\left(-5\right)^{2}+\frac{22}{2}}$$

Add -9 and 7 to get -2.

$$2-\left(-2\right)^{3}+\sqrt{\left(-5\right)^{2}+\frac{22}{2}}$$

Calculate -2 to the power of 3 and get -8.

$$2-\left(-8\right)+\sqrt{\left(-5\right)^{2}+\frac{22}{2}}$$

The opposite of -8 is 8.

$$2+8+\sqrt{\left(-5\right)^{2}+\frac{22}{2}}$$

Add 2 and 8 to get 10.

$$10+\sqrt{\left(-5\right)^{2}+\frac{22}{2}}$$

Calculate -5 to the power of 2 and get 25.

$$10+\sqrt{25+\frac{22}{2}}$$

Divide 22 by 2 to get 11.

$$10+\sqrt{25+11}$$

Add 25 and 11 to get 36.

$$10+\sqrt{36}$$

Calculate the square root of 36 and get 6.

$$10+6$$

Add 10 and 6 to get 16.

$$16$$

Factor

$$2^{4}$$