Solve 2^16+2^15+2^10+2^9+{2}^7+{2}^5

$${ 2 }^{ 16 } + { 2 }^{ 15 } + { 2 }^{ 10 } + { 2 }^{ 9 } + { 2 }^{ 7 } + { 2 }^{ 5 }$$

Evaluate

$$100000$$

Solution Steps

Calculate 2 to the power of 16 and get 65536.

$$65536+2^{15}+2^{10}+2^{9}+2^{7}+2^{5}$$

Calculate 2 to the power of 15 and get 32768.

$$65536+32768+2^{10}+2^{9}+2^{7}+2^{5}$$

Add 65536 and 32768 to get 98304.

$$98304+2^{10}+2^{9}+2^{7}+2^{5}$$

Calculate 2 to the power of 10 and get 1024.

$$98304+1024+2^{9}+2^{7}+2^{5}$$

Add 98304 and 1024 to get 99328.

$$99328+2^{9}+2^{7}+2^{5}$$

Calculate 2 to the power of 9 and get 512.

$$99328+512+2^{7}+2^{5}$$

Add 99328 and 512 to get 99840.

$$99840+2^{7}+2^{5}$$

Calculate 2 to the power of 7 and get 128.

$$99840+128+2^{5}$$

Add 99840 and 128 to get 99968.

$$99968+2^{5}$$

Calculate 2 to the power of 5 and get 32.

$$99968+32$$

Add 99968 and 32 to get 100000.

$$100000$$

Factor

$$2^{5}\times 5^{5}$$