ML Aggarwal CBSE Solutions Class 6 Math 4th Chapter Exponents and Powers Exercise 4.1
Ex 4.1:
(1) Fill in the blanks:
(i) In the expression 37, base = …. And exponent = …..
(ii) In the expression (-7)5, base = ….. and exponent = ……
(iii) In the expression (2/5)11 base = …. And exponent = …..
(iv) If base is 6 and exponent is 8, then exponential form = ____
(2) Find the value of the following:
(i) 26
(iii) 55
(iii) (-6)4
(iv) (2/3)4
(v) (-2/5)5
(vi) (-2)9
(3) Express the following in the exponential form:
(i) 6 x 6 x 6 x 6 x 6
(ii) t x t x t
(iii) 2 x 2 x a x a x a x a
(iv) a x a x a x c x c x c x c x d
Solution: 
(4) Simplify the following
(i) 7 x 103
(ii) 25 x 9
(iii) 33 x 104
(5) Simplify the following
(i) (-3) x (-2)3
(ii) (-3)2 x (-5)2
(iii) (-2)3 x (-10)4
(iv) (-1)9
(v) 252 x (-1)31
(vi) 42 x 33 x (-1)122
(6) Identify the greater number in each of the following:
(i) 43 or 34
(ii) 73 or 37
(iii) 45 or 54
(iv) 210 or 102
Solution:
(i) 7 x 103
= 7 x (10 x 10 x 10)
= 7 x 1000
= 7000
(7) Write the following numbers as power of 2:
(i) 8
(ii) 128
(iii) 1024
(8) To what power (-2) should be raised to get 16?
Solution: 
(9) Write the following numbers as powers of (-3):
(i) 9
(ii) -27
(iii) 81
(10) Find the value of x in each of the following:
(i) 7x = 343
(ii) 3x = 729
(iii) (-8)x = -512
(iv) (-4)x = -1024
(v) (2/5)x = 32/3125
(vi) (-3/4)x = – 243/1024
(11) Write the prime factorization of the following numbers in the exponential form:
(i) 72
(ii) 360
(iii) 405
(iv) 540
(v) 2280
(vi) 3600
(vii) 4725
(viii) 8400
Solution: 
