Madhya Pradesh Police Exam Model Paper 1

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Question : 87 of 100

Marks: +1, -0

Simplify

4^{3{/}2}×243^{2{/}5}×9^{-3{/}2}

24
16/3
8/3
8

Solution:

Given

4^{3{/}2}×243^{2{/}5}×9^{-3{/}2}

Calculation

4^{3{/}2}×243^{2{/}5}×9^{-3{/}2}

=(2^2)^{3{/}2}×(3^5)^{2{/}5}×(3^2)^{-3{/}2}

=2^3×3^2×3^{-3}

=8×3^{-1}

=8{/}3

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