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Exponents and Powers — MATHS STD 8 — Question

Gujarat BoardEnglish MediumSTD 8MATHSExponents and Powers1 Mark
MCQ
Express $9^{-3}$ as a power with base $3.$
  • A
    $3^{-5}$
  • B
    $3^{-1}$
  • C
    $3^{6}$
  • ✓
    $3^{-6}$
✓

Answer

Correct option: D.
$3^{-6}$
D.  $3^{-6}$
Solution:
We know that $9 = 3 \times 3 = 3^2$
$(9)^{-3} = (3 \times 3)^{-3}$
$= (3^2)^{-3} (a^m)^n = a^{m \times n}$
$= 3^2 \times (-3)$
$=3^{-6}$​​​​​​​

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