Solve 5*2^100-6*2^100+0.0625*2^100

$$5 \times { 2 }^{ 100 } -6 \times { 2 }^{ 100 } +0.0625 \times { 2 }^{ 100 }$$

Evaluate

$$-1188422437713965063903159255040$$

Solution Steps

Calculate 2 to the power of 100 and get 1267650600228229401496703205376.

$$5\times 1267650600228229401496703205376-6\times 2^{100}+0.0625\times 2^{100}$$

Multiply 5 and 1267650600228229401496703205376 to get 6338253001141147007483516026880.

$$6338253001141147007483516026880-6\times 2^{100}+0.0625\times 2^{100}$$

Calculate 2 to the power of 100 and get 1267650600228229401496703205376.

$$6338253001141147007483516026880-6\times 1267650600228229401496703205376+0.0625\times 2^{100}$$

Multiply 6 and 1267650600228229401496703205376 to get 7605903601369376408980219232256.

$$6338253001141147007483516026880-7605903601369376408980219232256+0.0625\times 2^{100}$$

Subtract 7605903601369376408980219232256 from 6338253001141147007483516026880 to get -1267650600228229401496703205376.

$$-1267650600228229401496703205376+0.0625\times 2^{100}$$

Calculate 2 to the power of 100 and get 1267650600228229401496703205376.

$$-1267650600228229401496703205376+0.0625\times 1267650600228229401496703205376$$

Multiply 0.0625 and 1267650600228229401496703205376 to get 79228162514264337593543950336.

$$-1267650600228229401496703205376+79228162514264337593543950336$$

Add -1267650600228229401496703205376 and 79228162514264337593543950336 to get -1188422437713965063903159255040.

$$-1188422437713965063903159255040$$

Factor

$$-1188422437713965063903159255040$$