Math, asked by mangerrojaling, 10 hours ago

what is the expression of 1296?​

Answers

Answered by RvChaudharY50
11

Correct Question :- What is exponential form of 1296 ?

Solution :-

Finding prime factors of 1296 we get :-

→ 1296 ÷ 2 = 648 quotient, 0 remainder

→ 648 ÷ 2 = 324 quotient, 0 remainder

→ 324 ÷ 2 = 162 quotient, 0 remainder

→ 162 ÷ 2 = 81 quotient, 0 remainder

→ 81 ÷ 3 = 27 quotient, 0 remainder

→ 27 ÷ 3 = 9 quotient, 0 remainder

→ 9 ÷ 3 = 3 quotient, 0 remainder

→ 3 ÷ 3 = 1 quotient, 0 remainder

then,

→ 1296 = 2 * 2 * 2 * 2 * 3 * 3 * 3 * 3

therefore,

→ 1296 = 2⁴ * 3⁴

Hence,

→ The exponential form of 1296 is = (2⁴ * 3⁴) (Ans.)

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