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8th Class Mathematics Exponents and Power Question Bank Exponents and Powers

  • question_answer
    If \[{{3}^{n}}=729,\] find the value of \[{{3}^{3n+1}}\].

    A)  \[{{3}^{21}}\]                                   

    B)  \[{{3}^{10}}\]  

    C)         \[{{3}^{19}}\]  

    D)         \[{{3}^{15}}\]

    Correct Answer: C

    Solution :

    \[{{3}^{n}}=729\]  \[\Rightarrow \]  \[{{3}^{n}}={{3}^{6}}\]  \[\Rightarrow \]  \[n=6\] \[\therefore \]  \[{{3}^{3n+1}}={{3}^{3(6)+1}}={{3}^{18+1}}={{3}^{19}}\]


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