How to solve (1998)^(202)

1. Factor the equation (x + 2)(x + 3) = 0. 2. Set each factor equal to zero: x + 2 = 0 and x + 3 = 0. 3. Solve for x: x = -2 and x = -3.

Solve (1998)^(202) | Equatix

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Question

$${ 1998 }^{ 202 }$$

Evaluate

$5251552914389219370951792357851917273563934284070441577325830312435261012397023016264404495693677288851584315309864368872024832209674717782877061627693205157453778610759850903114081226530345488952725155408675614271751976792546670583824257506584304509534198813369441046331524500895417496035002657385744219382458455472359921800685926899847533241760381730964682363317977212789698548279157273887039086111113997571390686978597541292217236012688296626569190829492582140287181616355643758163390489718684744919346559965341724333532109270281330878503401543907928140139584522832039326922598424420175362476720028360269825626369505720230603737877025816382687747388819584533397504$

Solution Steps

Calculate $1998$ to the power of $202$ and get $5251552914389219370951792357851917273563934284070441577325830312435261012397023016264404495693677288851584315309864368872024832209674717782877061627693205157453778610759850903114081226530345488952725155408675614271751976792546670583824257506584304509534198813369441046331524500895417496035002657385744219382458455472359921800685926899847533241760381730964682363317977212789698548279157273887039086111113997571390686978597541292217236012688296626569190829492582140287181616355643758163390489718684744919346559965341724333532109270281330878503401543907928140139584522832039326922598424420175362476720028360269825626369505720230603737877025816382687747388819584533397504$.

$$5251552914389219370951792357851917273563934284070441577325830312435261012397023016264404495693677288851584315309864368872024832209674717782877061627693205157453778610759850903114081226530345488952725155408675614271751976792546670583824257506584304509534198813369441046331524500895417496035002657385744219382458455472359921800685926899847533241760381730964682363317977212789698548279157273887039086111113997571390686978597541292217236012688296626569190829492582140287181616355643758163390489718684744919346559965341724333532109270281330878503401543907928140139584522832039326922598424420175362476720028360269825626369505720230603737877025816382687747388819584533397504$$

Show Solution

Factor

$2^{202}\times 3^{606}\times 37^{202}$