The NCERT solutions are aimed at mastering the concepts and acquiring comprehensive knowledge about the various types of questions asked in CBSE Class 8 Mathematics. Students can access a set of questions and answers for the NCERT textbook Exercise 12.1, prepared by BYJU’S subject experts here. Download NCERT Solutions for Maths Chapter 12 and start practising to score well.
NCERT Solutions for class 8 Maths Chapter 12 Exponents and Powers Exercise 12.1
Access Other Exercise Solutions of Class 8 Maths Chapter 12 Exponents and Powers
Exercise 12.2 Solutions: 4 Questions (Short answers)
Access Answers to NCERT Class 8 Maths Chapter 12 Exponents and Powers Exercise 12.1 Page number 197
1. Evaluate:
(i) 3-2 (ii) (-4)-2 (iii) (1/2)-5
Solution:
(i) 3-2 = (1/3)2
= 1/9
(ii) (-4)-2 = (1/-4)2
= 1/16
(iii) (1/2)-5 = (2/1)5
= 25
= 32
2. Simplify and express the result in power notation with positive exponent:
(i) (-4)4 ÷(-4)8
(ii) (1/23)2
(iii) -(3)4×(5/3)4
(iv) (3-7÷3-10)×3-5
(v) 2-3×(-7)-3
Solution:
(i)
= (-4)5/(-4)8
= (-4)5-8
= 1/(-4)3
(ii) (1/23)2
= 12/(23)2
= 1/23×2 = 1/26
(iii) -(3)4×(5/3)4
= (-1)4×34×(54/34 )
= 3(4-4)×54
= 30×54 = 54
(iv) 
= (3-7/3-10)× 3-5
= 3-7 – (-10) × 3-5
= 3(-7+10)×3-5
= 33×3-5
= 3(3+-5)
= 3-2
=1/32
(v) 2-3×(-7) – 3
= (2×-7)-3
(Because am×bm = (ab)m)
= 1/(2×-7)3
= 1/(-14)3
3. Find the value of :
(i) (30+4-1)×22
(ii) (2-1×4-1)÷2 – 2
(iii) (1/2)-2+(1/3)-2+(1/4)-2
(iv) (3-1+4-1+5-1)0
(v) {(-2/3)-2}2
Solution:
(i)(30+4– 1)×22 = (1+(1/4))×22
= ((4+1)/4 )×22
= (5/4)×22
= (5/22)×22
= 5×2(2-2)
= 5×20
= 5×1 = 5
(ii)(2-1×4-1)÷2-2
= [(1/2)×(1/4)] ÷(1/4)
= (1/2×1/22 )÷ 1/4
= 1/23÷1/4
= (1/8)×(4)
= 1/2
(iii) (1/2)-2+(1/3)-2+(1/4)-2
= (2-1)-2+(3-1)-2+(4-1)-2
= 2(-1×-2)+3(-1×-2)+4(-1×-2)
= 22+32+42
= 4+9+16
=29
(iv) (3-1+4-1+5-1)0
= 1
(v) {(-2/3)-2}2 = (-2/3)-2×2
= (-2/3)-4
= (-3/2)4
= 81/16
4. Evaluate
(i) (8-1×53)/2-4
(ii) (5-1×2-2)×6-1
Solution:
(i) (8-1×53)/2-4
=
= 2×125 = 250
(ii) (5-1×2-2)×6-1
= (1/10)×1/6
= 1/60
5. Find the value of m for which 5m ÷ 5-3 = 55
Solution:
5m ÷ 5-3 = 55
5(m-(-3) ) = 55
5m+3 =55
Comparing exponents both sides, we get
m+3 = 5
m = 5-3
m = 2
6. Evaluate
(i)
(ii)
Solution:
(i)
= 3-4
= -1
(ii)
=
=
=
= 512/125
7. Simplify.
(i)
(ii)
Solution 7:
(i)
=
=
(ii)
=
=
=
=
= 1×1×3125
= 3125
Also, explore –
NCERT Solutions for Class 8 Maths Chapter 12
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