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A number leaves remainder 4 when divided by 7. What is the remainder when its fourth power is divided by 7?किसी संख्या को 7 से भाग देने पर शेषफल 4 है। उसी संख्या के चौथे घात को 7 से भाग देने पर शेषफल क्या होगा?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: 44
Step 1: For the fourth power, look at the remainder of (4^4). Step 2: (4^2=16), which leaves remainder 2 when divided by 7; then (4^4) leaves the same remainder as (2^2=4). Step 3: For higher powers, reduce remainders step by step.चरण 1: चौथे घात के लिए (4^4) का शेषफल देखें। चरण 2: (4^2=16), जिसका 7 से शेषफल 2 है; फिर (4^4) का शेषफल (2^2=4) होगा। चरण 3: बड़ी घातों में छोटे-छोटे चरणों में शेषफल निकालें।
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