Paano mo pinasimple ang 2 ^ 1000 - 2 ^ 999?

Sagot:

#2^999#

Paliwanag:

Kailangan nating tandaan na:

# n ^ a xx n ^ b = n ^ (a + b) #

# n ^ a / n ^ b = n ^ (a-b) #

Kaya narito ang gagawin natin

#2^1000 - 2^999#

#= (2) (2^999) - (1) (2^999)#

#= (2-1) (2^999)#

#= (2^999)#

Sagot:

# x = 2 ^ 999 #

Paliwanag:

Namin, # x = 2 ^ (1000) -2 ^ 999 #

# x = 2 ^ (999 + 1) -2 ^ 999 #

# x = 2 ^ 999 * 2 ^ 1-2 ^ 999 … to becausea ^ (m + n) = a ^ m * a ^ n #

# x = 2 ^ 999 (2 ^ 1-1) #

# x = 2 ^ 999 (1) #

# x = 2 ^ 999 #