ML Aggarwal Solutions for Class 7 Maths Chapter 4 Exponents and Powers are provided here. The main aim is to help students understand and crack these problems. We, at BYJU’S, have prepared these solutions wherein problems are solved step by step with detailed explanations. Students who wish to score good marks in Maths diligently practise these ML Aggarwal Solutions. Download pdf of Class 7 Chapter 4 in their respective links.
Chapter 4 – Exponents are the product of rational numbers multiplied several times by themselves. This chapter includes laws of exponents, expressing large numbers in standard form, numbers in expanded form, square root. Exponents and Powers solutions are available for download in pdf format and provide solutions to all the questions provided in ML Aggarwal Solutions for Class 7 Maths Chapter 4 Exponents and Powers.
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1. Fill in the blanks:
(i) In the expression 37, base = …. And exponent = …..
Solution:-
In the expression 37, base = 3 and exponent = 7
(ii) In the expression (-7)5, base = ….. and exponent = ……
Solution:-
In the expression (-7)5, base = -7 and exponent = 5
(iii) In the expression (2/5)11 base = …. And exponent = …..
Solution:-
In the expression (2/5)11, base = 2/5 and exponent = 11
(iv) If base is 6 and exponent is 8, then exponential form = ____
Solution:-
If base is 6 and exponent is 8, then exponential form = 68
2. Find the value of the following:
(i) 26
Solution:-
26 = 2 × 2 × 2 × 2 × 2 × 2 = 64
(iii) 55
Solution:-
55 = 5 × 5 × 5 × 5 × 5 = 3125
(iii) (-6)4
Solution:-
-6 × – 6 × -6 × -6 = 1296
(iv) (2/3)4
Solution:-
(2/3) × (2/3) × (2/3) × (2/3) = 16/81
(v) (-2/3)5
Solution:-
(-2/3)5 = (-2/3) × (-2/3) × (-2/3) × (-2/3) × (-2/3) = -32/729
(vi) (-2)9
Solution:-
-2 × -2 × -2 × -2 × -2 × -2 × -2 × -2 × -2 = -512
3. Express the following in the exponential form:
(i) 6 x 6 x 6 x 6 x 6
Solution:-
6 x 6 x 6 x 6 x 6 = 65
(ii) t x t x t
Solution:-
t x t x t = t3
(iii) 2 x 2 x a x a x a x a
Solution:-
2 x 2 x a x a x a x a = 22a4
(iv) a x a x a x c x c x c x c x d
Solution:-
a x a x a x c x c x c x c x d = a3c4d
4. Simplify the following
(i) 7 x 103
Solution:-
Above question can be written as,
= 7 x 10 x 10 x 10
= 7 x 1000
= 7000
(ii) 25Â x 9
Solution:-
Above question can be written as,
= 2 x 2 x 2 x 2 x 2 x 9
= 32 x 9
= 288
(iii) 33Â x 104
Solution:-
Above question can be written as,
= 3 x 3 x 3 x 10 x 10 x 10 x 10
= 27 x 10000
= 2,70,000
5. Simplify the following
(i) (-3) x (-2)3
Solution:-
Above question can be written as,
= (-3) x (-2) x (-2) x (-2)
= (-3) x (-8)
= 24
(ii) (-3)2Â x (-5)2
Solution:-
Above question can be written as,
= (-3) x (-3) x (-5) x (-5)
= 9 x 25
= 225
(iii) (-2)3Â x (-10)4
Solution:-
Above question can be written as,
= (-2) x (-2) x (-2) x (-10) x (-10) x (-10) x (-10)
= -8 x 10000
= -80000
(iv) (-1)9
Solution:-
Above question can be written as,
= (-1) x (-1) x (-1) x (-1) x (-1) x (-1) x (-1) x (-1) x (-1)
= -1
(v) 252Â x (-1)31
Solution:-
Above question can be written as,
= 25 x 25 x (-1)
= 625 x (-1)
= -625
(vi) 42Â x 33Â x (-1)122
Solution:-
Above question can be written as,
= 4 x 4 x 3 x 3 x 3 x 1
= 16 x 27 x 1
= 432
6. Identify the greater number in each of the following:
(i) 43Â or 34
Solution:-
Above question can be written as,
4 x 4 x 4 = 64
3 x 3 x 3 x 3 = 81
By comparing the two results,
34 is the greater number.
(ii) 73Â or 37
Solution:-
Above question can be written as,
7 x 7 x 7 = 343
3 x 3 x 3 x 3 x 3 x 3 x 3 = 2,187
By comparing the two results,
37 is the greater number.
(iii) 45Â or 54
Solution:-
Above question can be written as,
4 x 4 x 4 x 4 x 4 = 1024
5 x 5 x 5 x 5 = 625
By comparing the two results,
45 is the greater number.
(iv) 210Â or 102
Solution:-
Above question can be written as,
2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 = 1024
10 x 10 = 100
By comparing the two results,
210 is the greater number.
7. Write the following numbers as power of 2:
(i) 8
Solution:-
8 can be write as power of 2,
2 x 2 x 2 x 2 = 24
(ii) 128
Solution:-
128 can be write as power of 2,
2 x 2 x 2 x 2 x 2 x 2 x 2 = 27
(iii) 1024
Solution:-
1024 can be write as power of 2,
2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 = 210