Gujarat BoardEnglish MediumSTD 8MATHSExponents and Powers1 Mark
MCQ
For a non$-$zero integer $x, (x^4)^{-3}$ is equal to$:$
A
$ x^{12} $
✓
$ x^{-12} $
C
$ x^{64} $
D
$ x^{-64} $
✓
Answer
Correct option: B.
$ x^{-12} $
Using law of exponents, $(a^m)^n = (a)^{m\times n}= (a^m)^n$
$[\because$ a is non$-$zero integer$]$
similarly, $(x^4)^{-3}= (x)^{4\times {-3}}$
$= x^{-12} $
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