Solve 2^4div4^3*8^3/2^5

$$\frac { 2 ^ { 4 } \div 4 ^ { 3 } \cdot 8 ^ { 3 } } { 2 ^ { 5 } }$$

Evaluate

$$4$$

Solution Steps

Calculate 2 to the power of 4 and get 16.

$$\frac{\frac{16}{4^{3}}\times 8^{3}}{2^{5}}$$

Calculate 4 to the power of 3 and get 64.

$$\frac{\frac{16}{64}\times 8^{3}}{2^{5}}$$

Reduce the fraction \frac{16}{64} to lowest terms by extracting and canceling out 16.

$$\frac{\frac{1}{4}\times 8^{3}}{2^{5}}$$

Calculate 8 to the power of 3 and get 512.

$$\frac{\frac{1}{4}\times 512}{2^{5}}$$

Multiply \frac{1}{4} and 512 to get \frac{512}{4}.

$$\frac{\frac{512}{4}}{2^{5}}$$

Divide 512 by 4 to get 128.

$$\frac{128}{2^{5}}$$

Calculate 2 to the power of 5 and get 32.

$$\frac{128}{32}$$

Divide 128 by 32 to get 4.

$$4$$

Factor

$$2^{2}$$