Solve (-9+7)^2:(-2-8)^0-3^2

$$( - 9 + 7 ) ^ { 2 } : ( - 2 - 8 ) ^ { 0 } - 3 ^ { 2 }$$

Evaluate

$$-5$$

Solution Steps

Add -9 and 7 to get -2.

$$\frac{\left(-2\right)^{2}}{\left(-2-8\right)^{0}}-3^{2}$$

Calculate -2 to the power of 2 and get 4.

$$\frac{4}{\left(-2-8\right)^{0}}-3^{2}$$

Subtract 8 from -2 to get -10.

$$\frac{4}{\left(-10\right)^{0}}-3^{2}$$

Calculate -10 to the power of 0 and get 1.

$$\frac{4}{1}-3^{2}$$

Anything divided by one gives itself.

$$4-3^{2}$$

Calculate 3 to the power of 2 and get 9.

$$4-9$$

Subtract 9 from 4 to get -5.

$$-5$$

Factor

$$-5$$