text: Simplified value of
  Question:
  
  Simplified value oi $(25)^{\frac{1}{3}} \times 5^{\frac{1}{3}}$ is
  
  (a) 25
  
  (b) 3
  
  (c) 1
  
  (d) 5
  
  Solution:
  
  $(25)^{\frac{1}{2}} \times 5^{\frac{1}{3}}=\left(5^{2}\right)^{\frac{1}{3}} \times 5^{\frac{1}{3}}$
  
  $=5^{\frac{2}{3}} \times 5^{\frac{1}{3}}$
  
  $=5^{\frac{2}{3}+\frac{1}{3}}$
  
  $=5^{\frac{2+1}{3}}$
  
  $=5^{\frac{3}{3}}$
  
  $=5$
  
  $\therefore$ Simplified value of $(25)^{\frac{1}{3}} \times 5^{\frac{1}{3}}$ is $5 .$
  
  Hence, the correct option is (d).
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