Page 56 - SM inner class 7.cdr

3. Ex press the fol low ing as the prod uct of ex po nents through prime factorization :
(a) 288 (b) 1250 (c) 2250 (d) 3600
(e) 2400
1
4. Write the fol low ing by us ing a - n = with pos i tive exponents.
a n
(a) x -7 (b) a -5 (c) 7 - 5 (d) 9 - 6

5. Sim plify the fol low ing us ing laws of ex po nents
5 7
2
2
(a) 2 10 ´ 2 4 (b) ( ) ( )3 ´ 3 2 4 (c) (d) 9 ´ 9 18 ´ 9 10
5 2
4 3 8
3 æ ö 3 æ ö 3 æ ö
3
(e) ç ÷ ´ ç ÷ ´ ç ÷ (f) (-3 ) ´ (-3 ) 10 ( ´ -3 ) 7
5 è ø 5 è ø 5 è ø
4
(g) ( )3 2 2 (h) 2 ´ 2 - 4 (i) 2 4a ´ 2 5a
6. Ex press the length 0.00000000236 in stan dard form.
7. Sim plify and write the an swer in sci en tific no ta tion :
(a) (5 10´ 3 ) (3 10 5 ) (b) ( .2 35 10´ - 3 ) ( .41 10 7 )
´
´
2
´
´
.
.
´
´
66 10 - 6 4 5 10 6
(c) (d)
´
66 10 - 5 0 9 10 5
.
´

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Mathematics In Focus - 7