Solve 2^-2^4*2^10

$$2 ^ { - 2 ^ { 4 } } \cdot 2 ^ { 10 }$$

Evaluate

$$\frac{1}{64}=0.015625$$

Solution Steps

Calculate 2 to the power of 4 and get 16.

$$2^{-16}\times 2^{10}$$

Calculate 2 to the power of -16 and get \frac{1}{65536}.

$$\frac{1}{65536}\times 2^{10}$$

Calculate 2 to the power of 10 and get 1024.

$$\frac{1}{65536}\times 1024$$

Multiply \frac{1}{65536} and 1024 to get \frac{1}{64}.

$$\frac{1}{64}$$

Factor

$$\frac{1}{2 ^ {6}} = 0.015625$$