6th Class Mathematics Exponents and Power Question Bank Exponent and Powers

  • question_answer Find the numerical value of\[{{\left( 4096 \right)}^{\frac{-1}{4}}}.\]

    A)  16                              

    B)  8           

    C)  4                                

    D)  1

    Correct Answer: D

    Solution :

    \[{{\left( 4096 \right)}^{\frac{-1}{4}}}={{\left( {{2}^{12}} \right)}^{-1/4}}={{2}^{\left( 12\times \frac{-1}{4} \right)}}={{2}^{-3}}=\frac{1}{8}\] Mathematical ingenuity: It is worthwhile to remember a few powers of 2 and \[3:\] e.g., \[{{2}^{2}}=4;{{.........2}^{6}}={{6}^{4}}......;{{....2}^{10}}=1024\] Similarly \[{{3}^{2}}=9;\,{{3}^{3}}=27...;{{.....3}^{5}}=243,{{3}^{6}}=729\]etc.

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