Surds and Indices Practice Test 1

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Question : 24 of 40

Marks: +1, -0

The value of

(2^3/3^2)^{2/3}×(3^3/2^2)^{2/3}

is:

$6^{4/3 }$
$8^{2/3 }$
$6^{2/3 }$
$9 ^{1/ 3}$

Solution:

(2^3/3^2)^{2/3}×(3^3/2^2)^{2/3}

=(2^3/3^2×3^3/2^2)^{2/3}

=(2×3)^{2/3}=6^{2/3}

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