Solve [(-3)^2-(-3)^87:(-3)^85]:5

$$[ ( - 3 ) ^ { 2 } - ( - 3 ) ^ { 87 } : ( - 3 ) ^ { 85 } ] : 5$$

Evaluate

$$0$$

Solution Steps

To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent. Subtract 85 from 87 to get 2.

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

Calculate -3 to the power of 2 and get 9.

$$\frac{9-\left(-3\right)^{2}}{5}$$

Calculate -3 to the power of 2 and get 9.

$$\frac{9-9}{5}$$

Subtract 9 from 9 to get 0.

$$\frac{0}{5}$$

Zero divided by any non-zero number gives zero.

$$0$$

Factor

$$0$$