Solve [-9^3*3^5]^6:(-3)^63

$$[ - 9 ^ { 3 } \cdot 3 ^ { 5 } ] ^ { 6 } : ( - 3 ) ^ { 63 }$$

Evaluate

$$-27$$

Solution Steps

Calculate 9 to the power of 3 and get 729.

$$\frac{\left(-729\times 3^{5}\right)^{6}}{\left(-3\right)^{63}}$$

Calculate 3 to the power of 5 and get 243.

$$\frac{\left(-729\times 243\right)^{6}}{\left(-3\right)^{63}}$$

Multiply -729 and 243 to get -177147.

$$\frac{\left(-177147\right)^{6}}{\left(-3\right)^{63}}$$

Calculate -177147 to the power of 6 and get 30903154382632612361920641803529.

$$\frac{30903154382632612361920641803529}{\left(-3\right)^{63}}$$

Calculate -3 to the power of 63 and get -1144561273430837494885949696427.

$$\frac{30903154382632612361920641803529}{-1144561273430837494885949696427}$$

Divide 30903154382632612361920641803529 by -1144561273430837494885949696427 to get -27.

$$-27$$

Factor

$$-27$$