स्पष्टीकरणासह प्रश्‍नसंच -1 - Maths & Resoning

1) \[\: \: 6^{4}\times 6^{8}\times 6^{3}=?\]

    Explanation: \[\: \: 6^{4+8+3}= 6^{15}\]


    2) \[\: \: 2^{-2}=?\]

      Explanation: \[\: \: \frac{1}{2^{2}}=\frac{1}{4}=0.25\]


      3) \[\: \: \left ( 3^{4} \right )^{2}=?\]

      Explanation: \[\: \: 3^{8}\]


      4) \[\: \: 0.06^{0} =?\]

      Explanation: 1


      5)\[\: \: 8^{6}\div 8^{2} =?\]

        Explanation: \[8^{6-2}=8^{4}\]


        6) \[\: \: \left ( \frac{3}{5} \right )^{1} =?\]

          Explanation: \[\left ( \frac{3}{5} \right )^{1}=\frac{3}{5}\]


          7) \[\: \: 3^{5}\times 4^{5}\times 2^{5} =?\]

            Explanation: \[24^{5}\]


            8) \[\: \: \left ( \frac{3}{4} \right )^{1} =?\]

              Explanation:\[\frac{3^{5}}{4^{5}}\]


              9) \[\: \: \left ( 3^{4} \right )^{\frac{1}{2}} =?\]

              Explanation: \[3^{4\times \frac{1}{2}}=3^{2}=9\]


              10)\[\: \: \left ( \frac{4^{3}}{5^{2}} \right )^{6} =?\]

                Explanation: \[\frac{4^{18}}{5^{12}}\]