Solve A:3^100+4^100quad|B:2^202

$$A : 3 ^ { 100 } + 4 ^ { 100 } \quad | B : 2 ^ { 202 }$$

Factor

$$\frac{515377520732011331036461129765621272702107522001|B|+4A}{2061510082928045324145844519062485090808430088004}$$

Solution Steps

Calculate 3 to the power of 100 and get 515377520732011331036461129765621272702107522001.

$$factor(\frac{A}{515377520732011331036461129765621272702107522001}+4^{100}|\frac{B}{2^{202}}|)$$

Calculate 4 to the power of 100 and get 1606938044258990275541962092341162602522202993782792835301376.

$$factor(\frac{A}{515377520732011331036461129765621272702107522001}+1606938044258990275541962092341162602522202993782792835301376|\frac{B}{2^{202}}|)$$

Calculate 2 to the power of 202 and get 6427752177035961102167848369364650410088811975131171341205504.

$$factor(\frac{A}{515377520732011331036461129765621272702107522001}+1606938044258990275541962092341162602522202993782792835301376|\frac{B}{6427752177035961102167848369364650410088811975131171341205504}|)$$

Factor out \frac{1}{515377520732011331036461129765621272702107522001}.

$$\frac{A+828179745220145502584084235957368498016122811853894435464201864103254919330121223037770283296858019385573376|\frac{B}{6427752177035961102167848369364650410088811975131171341205504}|}{515377520732011331036461129765621272702107522001}$$

Evaluate

$$\frac{|B|}{4}+\frac{A}{515377520732011331036461129765621272702107522001}$$