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which of the following is true
Question:
Which of the following is true?
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For $a>1$, raising to a higher power increases the value.
CAT - 1997
CAT
Updated On:
Mar 7, 2026
$7^{3} = (7^{3})^{2}$
$7^{3}>(7^{3})^{2}$
$7^{3}<(7^{3})^{2}$
None of these
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The Correct Option is
C
Solution and Explanation
$7^{3} = 343$, $(7^{3})^{2} = 343^{2} = 117{,}649$. Clearly $343<117{,}649$, so $7^{3}<(7^{3})^{2}$.
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