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Expression 2222 to the power 7777 + 7777 to the power 2222 is divisible by . |
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Answer» Given : 2222⁷⁷⁷⁷ + 7777²²²² (2222 to the power 7777 + 7777 to the power 2222) To find : 2222⁷⁷⁷⁷ + 7777²²²² is DIVISIBLE by Solution: 2222⁷⁷⁷⁷ + 7777²²²² = (1111 * 2) ⁷⁷⁷⁷ + (1111*7)²²²² Concept USED (ab)ⁿ = aⁿᵇⁿ = 1111 ⁷⁷⁷⁷ * 2 ⁷⁷⁷⁷ + 1111²²²² * 7²²²² = 1111 ²²²²⁺⁵⁵⁵⁵ * 2 ⁷⁷⁷⁷ + 1111²²²² * 7²²²² Concept used aⁿ⁺ˣ = aⁿ * aˣ = 1111 ²²²² * 11⁵⁵⁵⁵ * 2 ⁷⁷⁷⁷ + 1111²²²² * 7²²²² Taking 1111 ²²²² as common = (1111) ²²²² ( 1111⁵⁵⁵⁵ * 2⁷⁷⁷⁷ + 7²²²²) HENCE divisible by (1111) ²²²² Hence 2222⁷⁷⁷⁷ + 7777²²²² is Divisible by (1111) ²²²² LEARN more: If The Number '134X58Y' Is Divisible By 72, Find The Value Of (2X+ ... Find the missing digit, if the number 7254*98 is divisible by 22.995 + ... |
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