What will come in the place of question mark (?) in the following question?

\(? = \sqrt[5]{{{{\left( {243} \right)}^2}}}\)

  1. 3
  2. 7
  3. 6
  4. 8
  5. 9

Answer (Detailed Solution Below)

Option 5 : 9
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Solution:

We have to follow the BODMAS rule

quesImage82

Calculation:

\(? = \sqrt[5]{{{{\left( {243} \right)}^2}}}\)

 

\(⇒ ? = (243)^{\frac{2}{5}}\)

\(⇒ ? = (3 × 3 × 3 × 3 × 3)^{2⁄5}\)

\(⇒ ? = (3^5)^{2⁄5}\)

⇒ ? = 32

∴ ? = 9
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