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Exponents and Powers — MATHS STD 8 — Question

Gujarat BoardEnglish MediumSTD 8MATHSExponents and Powers1 Mark
MCQ
For a non-zero rational number $z, (z^{-2})^3$ is equal to:
  • A
    $z^6$
  • ✓
    $z^{-6}$
  • C
    $z^1$
  • D
    $z^4$
✓

Answer

Correct option: B.
$z^{-6}$
B.  $z^{-6}$
Solution:
Using law of exponents, $(a^m)^n = (a)^{mn}$ [$\because$ a is non-zero integer]
Similarly,
$(z^{-2})^3 = (z)^{(-2) \times 3}$
$= (z)^{-6}$

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