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 in a step-by-step manner with detailed explanations. Students who wish to score good marks in Maths can practise these ML Aggarwal Solutions regularly.
Chapter 4, Exponents and Powers, 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 and square root. ML Aggarwal Solutions for Class 7 Maths Chapter 4 Exponents and Powers are available for free download in PDF and provide solutions to all the questions in the textbook. Download the PDF of ML Aggarwal Solutions for Class 7 Chapter 4 in the link below.
ML Aggarwal Solutions for Class 7 Maths Chapter 4 Exponents and Powers
Access Answers to ML Aggarwal Solutions for Class 7 Maths Chapter 4 Exponents and Powers
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 the base is 6 and the exponent is 8, then exponential form = ____
Solution:-
If the base is 6 and the exponent is 8, then the exponential form = 68
2. Find the value of the following:
(i) 26
Solution:-
26 = 2 × 2 × 2 × 2 × 2 × 2 = 64
(ii) 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:-
The above question can be written as,
= 7 x 10 x 10 x 10
= 7 x 1000
= 7000
(ii) 25 x 9
Solution:-
The above question can be written as,
= 2 x 2 x 2 x 2 x 2 x 9
= 32 x 9
= 288
(iii) 33 x 104
Solution:-
The 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:-
The above question can be written as,
= (-3) x (-2) x (-2) x (-2)
= (-3) x (-8)
= 24
(ii) (-3)2 x (-5)2
Solution:-
The above question can be written as,
= (-3) x (-3) x (-5) x (-5)
= 9 x 25
= 225
(iii) (-2)3 x (-10)4
Solution:-
The 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:-
The 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) 252 x (-1)31
Solution:-
The above question can be written as,
= 25 x 25 x (-1)
= 625 x (-1)
= -625
(vi) 42 x 33 x (-1)122
Solution:-
The 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) 43 or 34
Solution:-
The 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) 73 or 37
Solution:-
The 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) 45 or 54
Solution:-
The 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) 210 or 102
Solution:-
The 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 the power of 2:
(i) 8
Solution:-
8 can be written as the power of 2,
2 x 2 x 2 x 2 = 24
(ii) 128
Solution:-
128 can be written as the power of 2,
2 x 2 x 2 x 2 x 2 x 2 x 2 = 27
(iii) 1024
Solution:-
1024 can be written as the power of 2,
2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 = 210
good