Solve 2^2^2/2(2^2)^2

$$\frac { 2 ^ { 2 ^ { 2 } } } { 2 ( 2 ^ { 2 } ) ^ { 2 } }$$

Evaluate

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

Solution Steps

To raise a power to another power, multiply the exponents. Multiply 2 and 2 to get 4.

$$\frac{2^{2^{2}}}{2\times 2^{4}}$$

To multiply powers of the same base, add their exponents. Add 1 and 4 to get 5.

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

Calculate 2 to the power of 2 and get 4.

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

Calculate 2 to the power of 4 and get 16.

$$\frac{16}{2^{5}}$$

Calculate 2 to the power of 5 and get 32.

$$\frac{16}{32}$$

Reduce the fraction \frac{16}{32} to lowest terms by extracting and canceling out 16.

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

Factor

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