Solve (1-4)^3*(5-8)^8*(-3):9^6=

$$( 1 - 4 ) ^ { 3 } \cdot ( 5 - 8 ) ^ { 8 } \cdot ( - 3 ) : 9 ^ { 6 } =$$

Evaluate

$$1$$

Solution Steps

Subtract 4 from 1 to get -3.

$$\frac{\left(-3\right)^{3}\left(5-8\right)^{8}\left(-3\right)}{9^{6}}$$

Calculate -3 to the power of 3 and get -27.

$$\frac{-27\left(5-8\right)^{8}\left(-3\right)}{9^{6}}$$

Subtract 8 from 5 to get -3.

$$\frac{-27\left(-3\right)^{8}\left(-3\right)}{9^{6}}$$

Calculate -3 to the power of 8 and get 6561.

$$\frac{-27\times 6561\left(-3\right)}{9^{6}}$$

Multiply -27 and 6561 to get -177147.

$$\frac{-177147\left(-3\right)}{9^{6}}$$

Multiply -177147 and -3 to get 531441.

$$\frac{531441}{9^{6}}$$

Calculate 9 to the power of 6 and get 531441.

$$\frac{531441}{531441}$$

Divide 531441 by 531441 to get 1.

$$1$$

Factor

$$1$$