Solve [(-3)^2*(-4)]^5/(-3)^8*(-4)^4=

$$\frac { [ ( - 3 ) ^ { 2 } \cdot ( - 4 ) ] ^ { 5 } } { ( - 3 ) ^ { 8 } \cdot ( - 4 ) ^ { 4 } } =$$

Evaluate

$$-36$$

Solution Steps

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

$$\frac{\left(9\left(-4\right)\right)^{5}}{\left(-3\right)^{8}\left(-4\right)^{4}}$$

Multiply 9 and -4 to get -36.

$$\frac{\left(-36\right)^{5}}{\left(-3\right)^{8}\left(-4\right)^{4}}$$

Calculate -36 to the power of 5 and get -60466176.

$$\frac{-60466176}{\left(-3\right)^{8}\left(-4\right)^{4}}$$

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

$$\frac{-60466176}{6561\left(-4\right)^{4}}$$

Calculate -4 to the power of 4 and get 256.

$$\frac{-60466176}{6561\times 256}$$

Multiply 6561 and 256 to get 1679616.

$$\frac{-60466176}{1679616}$$

Divide -60466176 by 1679616 to get -36.

$$-36$$

Factor

$$-36$$