Solve 16^3*[(-16)^5:(-4)^5]

$$16 ^ { 3 } \times [ ( - 16 ) ^ { 5 } : ( - 4 ) ^ { 5 } ]$$

Evaluate

$$4194304$$

Solution Steps

Calculate 16 to the power of 3 and get 4096.

$$4096\times \frac{\left(-16\right)^{5}}{\left(-4\right)^{5}}$$

Calculate -16 to the power of 5 and get -1048576.

$$4096\times \frac{-1048576}{\left(-4\right)^{5}}$$

Calculate -4 to the power of 5 and get -1024.

$$4096\times \frac{-1048576}{-1024}$$

Divide -1048576 by -1024 to get 1024.

$$4096\times 1024$$

Multiply 4096 and 1024 to get 4194304.

$$4194304$$

Factor

$$2^{22}$$