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Number systems — Maths STD 9 — Question

Gujarat BoardEnglish MediumSTD 9MathsNumber systems1 Mark
MCQ
The value of $\Big(\frac{12^{\frac{1}{5}}}{27^{\frac{1}{5}}}\Big)^{\frac{5}{2}}.$
  • A
    $\frac{12}{27}$
  • B
    $\frac{4}{9}$
  • C
    $\frac{2}{3}$
  • D
    None of these.
✓

Answer

  1. $\frac{2}{3}$
    Solution:
    $\Big(\frac{12^{\frac{1}{5}}}{27^{\frac{1}{5}}}\Big)^{\frac{5}{2}}.$
    $\Rightarrow\Big(\frac{12}{27}\Big)^{\frac{1}{5}\times\frac{5}{2}}$
    $\Rightarrow\Big(\frac{12}{27}\Big)^{\frac{1}{2}}$
    $\Rightarrow\frac{2\sqrt{3}}{3\sqrt{3}}$
    $\Rightarrow\frac{2}{3}$

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