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.
$x^{-12}$
B. $x^{-12}$ Solution:
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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