morgantrammell4800 morgantrammell4800

08-01-2021
Mathematics

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Mr Magee wrote the expression shown Below on the board if the expression has a value of 8 which of the following is the value of n

Mr Magee wrote the expression shown Below on the board if the expression has a value of 8 which of the following is the value of n class=

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ChoiSungHyun ChoiSungHyun

08-01-2021

Step-by-step explanation:

512^(1/n) = 8

(2⁹)^(1/n) = 2³

2^(9/n) = 2³

=> 9/n = 3, n = 3. (D)

P.S.

Law of Indices: (a^m)^n = a^(mn)

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