Solve 4^51-2^101-16^25/32^20-{8^33-{4}^49}

$$\frac{ { 4 }^{ 51 } - { 2 }^{ 101 } - { 16 }^{ 25 } }{ { 32 }^{ 20 } - { 8 }^{ 33 } - { 4 }^{ 49 } }$$

Evaluate

$$4$$

Solution Steps

Calculate 4 to the power of 51 and get 5070602400912917605986812821504.

$$\frac{5070602400912917605986812821504-2^{101}-16^{25}}{32^{20}-8^{33}-4^{49}}$$

Calculate 2 to the power of 101 and get 2535301200456458802993406410752.

$$\frac{5070602400912917605986812821504-2535301200456458802993406410752-16^{25}}{32^{20}-8^{33}-4^{49}}$$

Subtract 2535301200456458802993406410752 from 5070602400912917605986812821504 to get 2535301200456458802993406410752.

$$\frac{2535301200456458802993406410752-16^{25}}{32^{20}-8^{33}-4^{49}}$$

Calculate 16 to the power of 25 and get 1267650600228229401496703205376.

$$\frac{2535301200456458802993406410752-1267650600228229401496703205376}{32^{20}-8^{33}-4^{49}}$$

Subtract 1267650600228229401496703205376 from 2535301200456458802993406410752 to get 1267650600228229401496703205376.

$$\frac{1267650600228229401496703205376}{32^{20}-8^{33}-4^{49}}$$

Calculate 32 to the power of 20 and get 1267650600228229401496703205376.

$$\frac{1267650600228229401496703205376}{1267650600228229401496703205376-8^{33}-4^{49}}$$

Calculate 8 to the power of 33 and get 633825300114114700748351602688.

$$\frac{1267650600228229401496703205376}{1267650600228229401496703205376-633825300114114700748351602688-4^{49}}$$

Subtract 633825300114114700748351602688 from 1267650600228229401496703205376 to get 633825300114114700748351602688.

$$\frac{1267650600228229401496703205376}{633825300114114700748351602688-4^{49}}$$

Calculate 4 to the power of 49 and get 316912650057057350374175801344.

$$\frac{1267650600228229401496703205376}{633825300114114700748351602688-316912650057057350374175801344}$$

Subtract 316912650057057350374175801344 from 633825300114114700748351602688 to get 316912650057057350374175801344.

$$\frac{1267650600228229401496703205376}{316912650057057350374175801344}$$

Divide 1267650600228229401496703205376 by 316912650057057350374175801344 to get 4.

$$4$$

Factor

$$2^{2}$$