Solve 1/2*2^16*frac{1}2^12

$$\frac { 1 } { 2 } \times 2 ^ { 16 } \times \frac { 1 } { 2 } ^ { 12 }$$

Evaluate

$$8$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 1 and 12 to get 13.

$$\left(\frac{1}{2}\right)^{13}\times 2^{16}$$

Calculate \frac{1}{2} to the power of 13 and get \frac{1}{8192}.

$$\frac{1}{8192}\times 2^{16}$$

Calculate 2 to the power of 16 and get 65536.

$$\frac{1}{8192}\times 65536$$

Multiply \frac{1}{8192} and 65536 to get \frac{65536}{8192}.

$$\frac{65536}{8192}$$

Divide 65536 by 8192 to get 8.

$$8$$

Factor

$$2^{3}$$