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Model Paper 2 — Applied Maths STD 11 Science — Question

CBSE BoardEnglish MediumSTD 11 ScienceApplied MathsModel Paper 21 Mark
MCQ
Which of the following is equal to $x$ ?
  • A
    $x^{\frac{12}{7}}-x^{\frac{5}{7}}$
  • ✓
    $\left(\sqrt{x^{3}}\right)^{\frac{2}{3}}$
  • C
    $x^{\frac{12}{7}} \times x^{\frac{7}{12}}$
  • D
    $\sqrt[12]{\left(x^{4}\right)^{\frac{1}{3}}}$
✓

Answer

Correct option: B.
$\left(\sqrt{x^{3}}\right)^{\frac{2}{3}}$
(b) $\left(\sqrt{x^{3}}\right)^{\frac{2}{3}}$
Explanation: $\because\left(\sqrt{x^{3}}\right)^{\frac{2}{3}}=\left(x^{\frac{3}{2}}\right)^{\frac{2}{3}}=x^{1}=x$

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