Solve 2^2^3div(2^3)^3=

$$2 ^ { 2 ^ { 3 } } \div ( 2 ^ { 3 } ) ^ { 3 } =$$

Evaluate

$$\frac{1}{2}=0.5$$

Solution Steps

To raise a power to another power, multiply the exponents. Multiply 3 and 3 to get 9.

$$\frac{2^{2^{3}}}{2^{9}}$$

Calculate 2 to the power of 3 and get 8.

$$\frac{2^{8}}{2^{9}}$$

Calculate 2 to the power of 8 and get 256.

$$\frac{256}{2^{9}}$$

Calculate 2 to the power of 9 and get 512.

$$\frac{256}{512}$$

Reduce the fraction \frac{256}{512} to lowest terms by extracting and canceling out 256.

$$\frac{1}{2}$$

Factor

$$\frac{1}{2} = 0.5$$