Solve frac{(-2)^{5}*3^7*2^2}{6^6*(-1)^10}

$$\frac { ( - 2 ) ^ { 5 } \cdot 3 ^ { 7 } \cdot 2 ^ { 2 } } { 6 ^ { 6 } \cdot ( - 1 ) ^ { 10 } }$$

Evaluate

$$-6$$

Solution Steps

Calculate -2 to the power of 5 and get -32.

$$\frac{-32\times 3^{7}\times 2^{2}}{6^{6}\left(-1\right)^{10}}$$

Calculate 3 to the power of 7 and get 2187.

$$\frac{-32\times 2187\times 2^{2}}{6^{6}\left(-1\right)^{10}}$$

Multiply -32 and 2187 to get -69984.

$$\frac{-69984\times 2^{2}}{6^{6}\left(-1\right)^{10}}$$

Calculate 2 to the power of 2 and get 4.

$$\frac{-69984\times 4}{6^{6}\left(-1\right)^{10}}$$

Multiply -69984 and 4 to get -279936.

$$\frac{-279936}{6^{6}\left(-1\right)^{10}}$$

Calculate 6 to the power of 6 and get 46656.

$$\frac{-279936}{46656\left(-1\right)^{10}}$$

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

$$\frac{-279936}{46656\times 1}$$

Multiply 46656 and 1 to get 46656.

$$\frac{-279936}{46656}$$

Divide -279936 by 46656 to get -6.

$$-6$$

Factor

$$-6$$