Solve =(2^2)^8+2^13/2^13

$$= \frac { ( 2 ^ { 2 } ) ^ { 8 } + 2 ^ { 13 } } { 2 ^ { 13 } }$$

Evaluate

$$9$$

Solution Steps

To raise a power to another power, multiply the exponents. Multiply 2 and 8 to get 16.

$$\frac{2^{16}+2^{13}}{2^{13}}$$

Calculate 2 to the power of 16 and get 65536.

$$\frac{65536+2^{13}}{2^{13}}$$

Calculate 2 to the power of 13 and get 8192.

$$\frac{65536+8192}{2^{13}}$$

Add 65536 and 8192 to get 73728.

$$\frac{73728}{2^{13}}$$

Calculate 2 to the power of 13 and get 8192.

$$\frac{73728}{8192}$$

Divide 73728 by 8192 to get 9.

$$9$$

Factor

$$3^{2}$$