Question

6 power 2 by 3 into root 6 power 7 / root cube roots x power 6

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Answer 1

Correct Question :- simplify 6 power 2 by 3 into cube root of 6 power 7 .

Solution :-

→ 6^(2/3) * ³√(6⁷)

using m√(a^n) = a^(n/m) we get,

→ 6^(2/3) * 6^(7/3)

now, using a^m * a^n = a^(m + n) ,

→ 6^(2/3 + 7/3)

→ 6^(9/3)

→ 6³

→ 216 (Ans.)

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