Question

simplyfy the following expression 2-³/²)-½

Answer 1

Given :    $(2^{\frac{-3}{2} })^{\frac{-1}{2} }$

To Find : Simplify

Solution:

$(2^{\frac{-3}{2} })^{\frac{-1}{2} }$

(xᵃ)ᵇ = xᵃᵇ

Hence

$=2^{\frac{3}{4} }$

= $\sqrt[4]{8}$

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