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Q.5.    Simplify:

            (i)\: \frac{(2^{5})^{2}\times 7^{3}}{8^{3}\times 7}

           

can be simplified as       

Q.5.    Simplify:

           (iii)\: \frac{3^{5}\times 10^{5}\times 25}{5^{7}\times 6^{5}}

can be simplified as     

Q.5.    Simplify:

            (ii)\frac{25\times 5^{2}\times t^{8}}{10^{3}\times t^{4}}

can be simplified as         

Q.4.    Express each of the following as a product of prime factors only in exponential form:

            (i)\: 108\times 192          (ii)\: 270        (iii)\: 729\times 64       (iv)\: 768

2 108 2 54 3 27 3 9 3 3   1   2 192 2 96 2 48 2 24 2 12 2 6 3 3   1                                    ...

Q.3.    Say true or false and justify your answer:

           (i)\: 10\times 10^{11}=100^{11}            (ii)\: 2^{3}> 5^{2}       (iii)\: 2^{3}\times 3^{2}= 6^{5}         (iv)\: 3^{0}=(1000)^{0}

can be simplified as                Since ,  Thus, it is false can be simplified as  Since, Thus, it is false can be simplified as  Since ,  Thus, it is false can be simplified as  Since, LHS = RHS Thus, it is true.            

Q.2.    Simplify and express each of the following in exponential form:

            (xii)\: (2^{3}\times 2)^{2}

can be simplified as 

Q.2.    Simplify and express each of the following in exponential form:

            (xi)\: \frac{4^{5}\times a^{8}b^{3}}{4^{5}\times a^{5}b^{2}}

can be simplified as 

Q.2.    Simplify and express each of the following in exponential form:

            (x)\: (\frac{a^{5}}{a^{3}})\times a^{8}

can be simplified as 

Q.2.    Simplify and express each of the following in exponential form:

            (ix)\: \frac{2^{8}\times a^{5}}{4^{3}\times a^{3}}

can be simplified as   

Q.2.    Simplify and express each of the following in exponential form:

            (viii)\: (3^{0}+2^{0})\times 5^0

can be simplified as 

Q.2.    Simplify and express each of the following in exponential form:

            (vi)\: 2^{0}+3^{0}+4^{0}

can be simplified as   

Q.2.    Simplify and express each of the following in exponential form:

            (v)\: \frac{3^{7}}{3^{4}\times 3^{3}}

can be simplified as 

Q.2.    Simplify and express each of the following in exponential form:

            (iv)\: \frac{3\times 7^{2}\times 11^{8}}{21\times 11^{3}}

can be simplified as 

Q.2.    Simplify and express each of the following in exponential form:

           (iii)\: 25^{4}\div 5^{3}

can be simplified as 

Q.2.    Simplify and express each of the following in exponential form:

            (ii)\: ((5^{2})^{3}\times 5^{4})\div 5^{7}

          

can be simplified as 

Q.2.    Simplify and express each of the following in exponential form:

           (i)\: \frac{2^{3}\times 3^{4}\times 4}{3\times 32}

can be simplified as   

1.  Using laws of exponents, simplify and write the answer in exponential form:

           (i)\: 3^{2}\times 3^{4}\times 3^{8}             (ii)\: 6^{15}\div 6^{10}        (iii)\: a^{3}\times a^{2}         (iv)\: 7^{x}\times 7^{2}

            (v)\:(5^{2})^{3}\div 5^{3}                  (vi)\:2^{5}\times 5^{5}           (vii)\:a^{4}\times b^{4}         (viii)\:(3^{4})^{3}

           (ix)\:(2^{20}\div 2^{15})\times 2^{3}        (x)\:8^{t}\div 8^{2}

         can be simplified as            can be simplified as  can be simplified as         can be simplified as    can be simplified as                             can be simplified as           can be simplified as   can be simplified as    can be simplified as          can be simplified as 
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