Math, asked by Sonyrathi, 1 year ago

bracket 8 ki minus 4 by 3 divided 2 ki power minus 2 bracket close whole power 1 by 2

Answers

Answered by Agastya0606
8

Given: The term bracket 8 power minus 4 by 3 divided 2 power minus 2 bracket close whole power 1 by 2

To find: The value of the expression.

Solution:

  • Let the term be A.
  • The term in mathematical form is:

              A = { 8^(-4/3) / 2^-2 }^1/2

  • Now solving this, we get:

              A = { 2^(3x(-4/3)) / 2^-2 }^1/2

              A = { 2^-4 / 2^-2 }^1/2

  • Now we know the property:

              a^m/a^n = a^(m-n)

  • Applying this, we get:

              A = { 2^(-4+2) }^1/2

              A = { 2^-2 }^1/2

              A = 2^-1

              A = 1/2

Answer:

          So the value of the given term is 1/2.

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