Solve [6^3*(-6)^3]^2:6^5

$$[ 6 ^ { 3 } \cdot ( - 6 ) ^ { 3 } ] ^ { 2 } : 6 ^ { 5 }$$

Evaluate

$$279936$$

Solution Steps

Calculate 6 to the power of 3 and get 216.

$$\frac{\left(216\left(-6\right)^{3}\right)^{2}}{6^{5}}$$

Calculate -6 to the power of 3 and get -216.

$$\frac{\left(216\left(-216\right)\right)^{2}}{6^{5}}$$

Multiply 216 and -216 to get -46656.

$$\frac{\left(-46656\right)^{2}}{6^{5}}$$

Calculate -46656 to the power of 2 and get 2176782336.

$$\frac{2176782336}{6^{5}}$$

Calculate 6 to the power of 5 and get 7776.

$$\frac{2176782336}{7776}$$

Divide 2176782336 by 7776 to get 279936.

$$279936$$

Factor

$$2^{7}\times 3^{7}$$