Solve left(4^2*2^3right)^4/2^20

$$\frac{ { \left( { 4 }^{ 2 } \times { 2 }^{ 3 } \right) }^{ 4 } }{ { 2 }^{ 20 } }$$

Evaluate

$$256$$

Solution Steps

Calculate 4 to the power of 2 and get 16.

$$\frac{\left(16\times 2^{3}\right)^{4}}{2^{20}}$$

Calculate 2 to the power of 3 and get 8.

$$\frac{\left(16\times 8\right)^{4}}{2^{20}}$$

Multiply 16 and 8 to get 128.

$$\frac{128^{4}}{2^{20}}$$

Calculate 128 to the power of 4 and get 268435456.

$$\frac{268435456}{2^{20}}$$

Calculate 2 to the power of 20 and get 1048576.

$$\frac{268435456}{1048576}$$

Divide 268435456 by 1048576 to get 256.

$$256$$

Factor

$$2^{8}$$