Identify the greater number wherever possible in each of the following?

Answers (2)
S seema garhwal

Q.4.    Identify the greater number, wherever possible, in each of the following?

          (i)4^{3}or \: 3^{4}     (ii) 5^{3}or \: 3^{5}    (iii) 2^{8}or \: 8^{2}    (iv) 100^{2}or \: 2^{100}      (v) 2^{10}or \: 10^{2}

S seema garhwal

   (i)4^{3}or \: 3^{4}  

         4^3=4\times 4\times 4=64

       3^4=3\times 3\times 3\times 3=81

        since  81> 64

               3^4 is greater than 4^3

   (ii) 5^{3}or \: 3^{5}

      5^3=5\times 5\times 5=125

       3^5=3\times 3\times 3\times 3\times 3=243

        since  243> 125

       3^5 is greater than 5^3

    (iii) 2^{8}or \: 8^{2} 

       2^8=2\times 2\times 2\times 2\times 2\times 2\times 2\times 2=256

       8^2=8\times 8=64

        since  256 > 64

        2^8 is greater than 8^2

   (iv) 100^{2}or \: 2^{100}   

       100^2=100\times 100=10000

       2^1^0^0=2\times 2\times 2\times 2\times 2...........till\, 100\, times\, 2

        since  2^1^0^0> 100^2

       2^1^0^0 is greater than 100^2

    (v) 2^{10}or \: 10^{2}

       2^1^0=2\times 2\times 2\times 2\times 2\times 2\times 2\times 2\times 2\times 2=1024

       10^2=10\times 10=100

        since  1024> 100

       2^1^0 is greater than 10^2

 

 

 

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