Solve {left(1/2right)}^-68{left(1/4right)}^-50div{left(1/8right)}^-34

$${ \left( \frac{ 1 }{ 2 } \right) }^{ -68 } { \left( \frac{ 1 }{ 4 } \right) }^{ -50 } \div { \left( \frac{ 1 }{ 8 } \right) }^{ -34 }$$

Evaluate

$$73786976294838206464$$

Solution Steps

Calculate \frac{1}{2} to the power of -68 and get 295147905179352825856.

$$\frac{295147905179352825856\times \left(\frac{1}{4}\right)^{-50}}{\left(\frac{1}{8}\right)^{-34}}$$

Calculate \frac{1}{4} to the power of -50 and get 1267650600228229401496703205376.

$$\frac{295147905179352825856\times 1267650600228229401496703205376}{\left(\frac{1}{8}\right)^{-34}}$$

Multiply 295147905179352825856 and 1267650600228229401496703205376 to get 374144419156711147060143317175368453031918731001856.

$$\frac{374144419156711147060143317175368453031918731001856}{\left(\frac{1}{8}\right)^{-34}}$$

Calculate \frac{1}{8} to the power of -34 and get 5070602400912917605986812821504.

$$\frac{374144419156711147060143317175368453031918731001856}{5070602400912917605986812821504}$$

Divide 374144419156711147060143317175368453031918731001856 by 5070602400912917605986812821504 to get 73786976294838206464.

$$73786976294838206464$$

Factor

$$2^{66}$$