Tag: laws of indices

Questions Related to laws of indices

The value of ${ \left[ { \left( { 3 }^{ 2 } \right)  }^{ 2 } \right]  }^{ -1 }$ is-

maths indices negative indices law of indices laws of indices

  1. $81$

  2. $-81$

  3. $-0.0123$

  4. $0.0123$

Show answer
Correct Option: D
Explanation:
$\cfrac { 1 }{ { \left( { 3 }^{ 2 } \right)  }^{ 2 } } $        $\because (a^m)^n=a^{mn}$
$=\cfrac { 1 }{ { 3 }^{ 4 } }$
$ =\cfrac { 1 }{ 81 }$
$ =0.0123$