what is the expression of 1296?
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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.)
Learn more :-
find the exponential form of 7639.801
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