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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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