Solve 5*2^20+4*4^10+7*16^5

$$5 \times { 2 }^{ 20 } +4 \times { 4 }^{ 10 } +7 \times { 16 }^{ 5 }$$

Evaluate

$$16777216$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 1 and 10 to get 11.

$$5\times 2^{20}+4^{11}+7\times 16^{5}$$

Calculate 2 to the power of 20 and get 1048576.

$$5\times 1048576+4^{11}+7\times 16^{5}$$

Multiply 5 and 1048576 to get 5242880.

$$5242880+4^{11}+7\times 16^{5}$$

Calculate 4 to the power of 11 and get 4194304.

$$5242880+4194304+7\times 16^{5}$$

Add 5242880 and 4194304 to get 9437184.

$$9437184+7\times 16^{5}$$

Calculate 16 to the power of 5 and get 1048576.

$$9437184+7\times 1048576$$

Multiply 7 and 1048576 to get 7340032.

$$9437184+7340032$$

Add 9437184 and 7340032 to get 16777216.

$$16777216$$

Factor

$$2^{24}$$