Sainik School Entrance Exam 2018 Solved Paper

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Question : 37 of 150

Marks: +1, -0

If

a=b^{2 / 3}

, and

b=c^{-2}

, then what is the value of

a

in terms of

c

?

$4/c^3$
$∛c^4$
$1/∛c^4$
$∜c^3$

Solution:

(c) Given,

a=b^{2 / 3}

=({1}/{c^2})^{2 / 3}

= {1}/{c^{4 / 3}}

={1}/{∛{c^4}}

So, the value of a in terms of

\c={1}/{∛{c^4}}

..

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