Math, asked by ur572992, 3 months ago

If 2^6 = 8^k, then find the value of k.​

Answers

Answered by CopyThat
38

Given: If 2^6 = 8^k, then find the value of k?

→ ANSWER:

       2⁶=8ᵏ

       2⁶=(2³)ᵏ

       2⁶=2³ᵏ                    ( 3 and k get multiplied)

       6=3k                       (aᵐ=aⁿ m=n )

       k=6÷3

      ∴k=2

↔Verify:

   2⁶=8²

   64=64

  ∴L.H.S=R.H.S

The value of k is 2


Anonymous: ^_^
Answered by Anonymous
34

 2⁶=8ᵏ

      2⁶=(2³)ᵏ

      2⁶=2³ᵏ                    ( 3 and k get multiplied)

      6=3k                       (aᵐ=aⁿ m=n )

      k=6÷3

     ∴k=2

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