Question

The number 8⁸ is obtained from number 4⁴ by raising this number to the power of n .What is the number n?
(1)2
(2)3
(3)8
(4)16​

Answer 1

Answer:3

Step-by-step explanation:

LHS ⇒ (4⁴)ⁿ = {(2×2)⁴}ⁿ

        ⇒(2⁴×2⁴)ⁿ

        ⇒(2⁸)ⁿ

RHS⇒8⁸ = {(2×2×2)⁸}

       ⇒2⁸×2⁸×2⁸

       ⇒2²⁴

∴ LHS = RHS

⇒(2⁸)ⁿ = 2²⁴

⇒(2⁸)ⁿ = (2⁸)³

⇒n = 3

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Answer 2

Answer:

it's commonly 3

hope it helps you