1) Find the value using laws of exponents
i) x4
(x5
) ii) x7÷ x3
iii)(x3
)
4
2) Find the value with positive exponent
i) x-3
ii) (-3)2
iii) -3
2
3) Simplify using laws of exponents:
i)(3x2
)
3
ii) (-2x3
y
4
)
2
iii) 5x3
4x7
4) If P={1,2,3} Q={2,3,4},R={3,4,5}, Find a)P∩Q b)P∩R c)Q∩R
5)If A={a,b,c,d},B={b,c,d,e}, C={c,d,e,f} Find a)A-B b)B-C c)C-B
6)If A={2,3,4,5,6,7}B={2,4,7,8}C={2,4} Find a) AUB b) BUC c) AUC
7) Write 14
−49
as a rational number in the standard form
8) Find the square root of 5625 and 441
9) Find the value of square of 23 and 25
10) If the weight of 20 books is 180 kg, find how much will 15 books weigh?
11) If x1=5, y1=7.5, x2= 7.5 then find y2 where x and y vary directly
12) If 3 kg of sugar contains 9×108
crystals find how many sugar crystals are there in 4 kg of
sugar?
13)A={1,2,3} B={2,3,4} Find i) n(A) ii) n(B)
14) Write in roaster form of representation.
i) A= set of even numbers less than 13 ii) B=set of integers between 2 and -2
15) Insert 4 rational numbers between ¾ and 1
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