NCERT Solutions for Class 8 Maths Chapter 12 – Exponents and Powers. Furthermore, here we’ve provided you with the latest solution for Class 8 Maths Chapter 12 – Exponents and Powers. As a result here you’ll find solutions to all the exercises. This NCERT Class 8 solution will help you to score good marks in your exam.
Students can refer to our solution for NCERT Class 8 Maths Chapter 12 – Exponents and Powers. The Chapter 12 Solution of NCERT will help students prepare for the exams and easily crack the exam. Below we’ve provided you with the exercise-wise latest solution.
NCERT Solutions for Class 8 Maths Chapter 12 – Exponents and Powers Exercise Wise Solution
Exercise 12.1 – Page 197 of NCERT
Exercise 12.2 – Page 200 of NCERT
NCERT Solutions for Class 8 Maths Chapter 12 – Exponents and Powers Exercise 12.1 Solution
Here you’ll find NCERT Chapter 12 – Exponents and Powers Exercise 12.1 Solution.
Exercise 12.1: Solutions of Questions on Page Number: 197
Q1: Evaluate
(i) 3 – 2 (ii) ( – 4) – 2 (iii)
Answer:
(i)
(ii)
(iii)
Q2: Simplify and express the result in power notation with a positive exponent.
(i)
(ii)
(iii)
(iv)
(v)
Answer:
(i) ( – 4)5 ÷ ( – 4)8 = ( – 4)5 – 8 (am÷ an = am – n)
= ( – 4) – 3
(ii)
(iii)
(iv) (3 -7 ÷ 3 – 10) × 3 – 5 = (3 – 7 – ( – 10)) × 3 – 5 (am ÷ an = am – n)
= 33 × 3 – 5
= 33 + ( – 5) (am × an = am + n)
= 3-2
(v) 2-3 × ( – 7) – 3 =
Q3: 
(i) (30 + 4 – 1) × 22 (ii) (2 – 1 × 4 – 1) ÷ 2 – 2
(iii) (iv) (3 – 1 + 4 – 1 + 5 – 1)0
(v)
Answer:
(i)
(ii) (2-1 × 4-1) ÷ 2-2 = [2-1 × {(2)2}-1] ÷ 2-2
= (2-1 × 2-2) ÷ 2-2
= 2-1+ ( -2) ÷· 2-2 (am × an = am+ n)
= 2-3÷ 2 -2
= 2-3 – ( -2) (am ÷ an = am – n)
= 2 -3 + 2 = 2-1
(iv) (3 – 1 + 4 – 1 + 5 – 1)0
= 1 (a0 = 1)
(v)
Q4: Evaluate
(i)
Answer:
(i)
(ii)
Q5: Find the value of m for which 5m ÷ 5-3 = 55.
Answer:
5m ÷ 5-3 = 55
5m – (- 3) = 55 (am ÷ an = am– n) 5m+ 3 = 55
Since the powers have same bases on both sides, their respective exponents must be equal.
m + 3 = 5
m = 5 – 3
m = 2
Q6: Evaluate
(i)
Answer:
(i)
(ii)
Q7: Simplify. (i) 
Answer:
(i)
(ii)
NCERT Solutions for Class 8 Maths Chapter 12 – Exponents and Powers Exercise 12.2 Solution
Here you’ll find NCERT Chapter 12 – Exponents and Powers Exercise 12.2 Solution.
Exercise 12.2: Solutions of Questions on Page Number: 200
Q1: Express the following numbers in standard form.
(i) 0.0000000000085 (ii) 0.00000000000942
(iii) 6020000000000000 (iv) 0.00000000837
(v) 31860000000
Answer:
(i) 0.0000000000085 = 8.5 x 10-12
(ii) 0.00000000000942 = 9.42 x 10-12
(iii) 6020000000000000 = 6.02 x 1015
(iv) 0.00000000837 = 8.37 x 10-9
(v) 31860000000 = 3.186 x 1010
Q2: Express the following numbers in usual form.
(i) 3.02 x 10-6 (ii) 4.5 x 104
(iii) 3 x 10-8 (iv) 1.0001 x 109
(v) 5.8 x 1012 (vi) 3.61492 x 106
Answer:
(i) 3.02 x 10-6 = 0.00000302
(ii) 4.5 x 104 = 45000
(iii) 3 x 10-8 = 0.00000003
(iv) 1.0001 x 109 = 1000100000
(v) 5.8 x 1012 = 5800000000000
(vi) 3.61492 x 106 = 3614920
Q3: Express the number appearing in the following statements in standard form.
- 1 micron is equal to m.
- Charge of an electron is 0.000, 000, 000, 000, 000, 000, 16 coulomb.
- Size of a bacteria is 0.0000005 m
- Size of a plant cell is 0.00001275 m
- Thickness of a thick paper is 0.07 mm Answer :
(i) = 1 × 10 – 6
(ii) 0.000, 000, 000, 000, 000, 000, 16 = 1.6 × 10 – 19
(iii) 0.0000005 = 5 × 10 – 7
(iv) 0.00001275 = 1.275 × 10 – 5
(v) 0.07 = 7 × 10 – 2
Q4: In a stack there are 5 books each of thickness 20 mm and 5 paper sheets each of thickness 0.016 mm. What is the total thickness of the stack?
Answer:
Thickness of each book = 20 mm
Hence, thickness of 5 books = (5 x 20) mm = 100 mm Thickness of each paper sheet = 0.016 mm
Hence, thickness of 5 paper sheets = (5 x 0.016) mm = 0.080 mm
Total thickness of the stack = Thickness of 5 books + Thickness of 5 paper sheets
= (100 + 0.080) mm
= 100.08 mm
= 1.0008 x 102 mm.
NCERT Class 8 Maths All Chapters Solution
Chapter 1: Rational Numbers
Chapter 2: Linear Equations in One Variable
Chapter 3: Understanding Quadrilaterals
Chapter 4: Practical Geometry
Chapter 5: Data Handling
Chapter 6: Squares and Square root
Chapter 7: Cubes and Cube Roots
Chapter 8: Comparing Quantities
Chapter 9: Arithmetic Expressions
Chapter 10: Visualising Solid Shapes
Chapter 11: Mensuration
Chapter 12: Exponents and Powers
Chapter 13: Direct and Inverse Proportions
Chapter 14: Factorisation
Chapter 15: Introduction to Graphs
Chapter 16: Playing With Numbers