MCQ
Which of the following is equal to $'x'?$
- A$\sqrt[12]{(\text{x}^4)^{\frac{1}{3}}}$
- B$\text{x}^{\frac{12}{7}}\times\text{x}^{\frac{7}{12}}$
- ✓$(\sqrt{\text{x}^3})^{\frac{2}{3}}$
- D$\text{x}^{\frac{12}{7}}-\text{x}^{\frac{5}{7}}$
✓
Answer
Correct option: C.
$(\sqrt{\text{x}^3})^{\frac{2}{3}}$
$(\sqrt{\text{x}^3})^{\frac{2}{3}}$
$=\Big(\text{x}^{\frac{3}{2}}\Big)^{\frac{2}{3}}$
$=\text{x}$
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