Question

Simplify (12rais to the power1/5 / 27rais to the power1/5)rais to the power 5/2

Answer 1

[(12)^1/5/ (27)^1/5]^5/2

[(12/27)^1/5]^5/2

[12/27]^1/5×5/2

[12/27]^1/2

√12/√27

2√3/3√3

(2/3)^1/3.

This is the answer.

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Answer 2

(12^1/5 ÷ 27^1/5)^5/2

= {(12÷5)^1/5}^5/2

= (12÷27)^1/2. {(a^x)^y = a^xy}

=√12÷√27

=2√3÷3√3

=2÷3 Ans

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