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Q.8.    Compare the following numbers:

           (i) 2.7\times 10^{12} ;1.5\times 10^{8}                  (ii) 4\times 10^{14} ;3\times 10^{17}

    on comparing exponents of base 10.       on comparing exponents of base 10.       

Q.7.    Simplify:

           (iv) (-2)^{3}\times (-10)^{3}

can be simplified as 

Q.7.    Simplify:

           (iii) (-3)^{2}\times (-5)^{2}

can be simplified as 

Q.7.    Simplify:

           (ii) (-3)\times (-2)^{3}

can be simplified as 

Q.7.    Simplify:

            (i)(-4)^{3}

can be simplified as 

Q.6.    Simplify:

           (viii)3^{2}\times 10^{4}

can be simplified as 

Q.6.    Simplify:

            (vii) 2^{4}\times 3^{2}

can be simplified as 

Q.6.    Simplify:

           (vi)5^{2}\times 3^{3}

can be simplified as  

Q.6.    Simplify:

           (v)0\times 10^{2}

can be simplified as   

Q.6.    Simplify:

           (iv) 3\times 4^{4}

can be simplified as 

Q.6.    Simplify:

          (iii) 2^{3}\times 5

can be simplified as       

Q.6.    Simplify:

            (ii)7^{2}\times 2^{2}

can be simplified as    

Q.6.    Simplify:

           (i)2\times 10^{3}

can be simplified as   

Q.2.    Express the following in exponential form:

         (i)6\times 6\times 6\times 6      (ii)t\times t     (iii)b\times b\times b\times b     (iv)5\times 5\times 7\times 7\times 7

          (v)2\times 2\times a\times a      (vi)a\times a\times a\times c\times c\times c\times c\times d

 can be given as  .  can be given as .  can be given as .  can be given as  .  can be given as  .  can be given as  .                        

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}

Q.5.   Express each of the following as product of powers of their prime factors:

          (i) 648    (ii) 405    (iii) 540   (iv) 3,600

(i) 648     2 648 2 324 2 162 2 81 3 27 3 9 3 3   1 (ii) 405     5 405 3 81 3 27 3 9 3 3   1        (iii)540             2 540 2 270 3 135 3 45 3 15 5 5   1 (iv) 3600 2 3600 2 1800 2 900 2 450 3 225 3 75 5 25 5 5   1                        

Q.3.   Express each of the following numbers using exponential notation:

         (i) 512    (ii) 343    (iii) 729    (iv) 3125

         

 

(i) 512 2 512 2 256 2 128 2 64 2 32 2 16 2 8 2 4 2 2   1 (ii) 343 7 343 7 49 7 7   1 (iii)729 3 729 3 243 3 81 3 27 3 9 3 3   1 (iv)3125 5 3125 5 625 5 125 5 25 5 5   1      

Q.1.    Find the value of:

          (iv)5^{4}

the value of  is given by 

  Find the value of:

          (iii)11^{2}

the value of   is given by 

Q.1.    Find the value of:

          (ii)9^{3}

the value of  is given by 
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