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Exponents and Powers — MATHS STD 8 — Question

Gujarat BoardEnglish MediumSTD 8MATHSExponents and Powers1 Mark
MCQ
If $x$ be any non-zero integer and $m, n$ be negative integers, then $x^m \times x^n$ is equal to:
  • A
    $x^m$
  • ✓
    $x^{m+n}$
  • C
    $x^n$
     
  • D
    $x^{m-n}$
✓

Answer

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

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