Selina Class 8 ICSE Solutions Mathematics : Chapter 2- Exponents (Powers)

Class 8: Maths Chapter 2 solutions. Complete Class 8 Maths Chapter 2 Notes.

Selina Class 8 ICSE Solutions Mathematics : Chapter 2- Exponents (Powers)

Selina 8th Maths Chapter 2, Class 8 Maths Chapter 2 solutions

Question 1.
Evaluate:

Solution:

Question 2.
If 1125 = 3^m x 5ⁿ; find m and n.
Solution:

Question 3.
Find x, if 9 × 3^x = (27)^2x-3
Solution:

Exercise 2B

Question 1.
Compute:


Solution:

Question 2.
Simplify:
(i) 8^{\frac{4}{3}}+25^{\frac{3}{2}}-\left(\frac{1}{27}\right)^{-\frac{2}{3}}
(ii) [(64)^-2]^-3 ÷ [{(-8)²}³]²
(iii) (2^-3 – 2^-4) (2^-3 + 2^-4)
Solution:

Question 3.
Evaluate:

Solution:

Question 4.
Simplify:

Solution:

Question 5.
Simplify:
(x^a+b)^a-b.(x^b+c)^b-c.(x^c+a)^c-a
Solution:

Question 6.
Simplify:
(i) \sqrt[5]{x^{20} y^{-10} z^{5}}+\frac{x^{3}}{y^{3}}
(ii) \left(\frac{256 a^{16}}{81 b^{4}}\right)^{\frac{-3}{4}}
Solution:

Question 7.
(i) (a^-2)^-2. (ab)^-3
(ii) (xⁿy^-m)⁴ × (x³y^-2)^-n
(iii) \left(\frac{125 a^{-3}}{y^{6}}\right)^{\frac{-1}{3}}
(iv) \left(\frac{32 x^{-5}}{243 y^{-5}}\right)^{\frac{-1}{5}}
(v) (a^-2b)^1/2 × (ab^-3)^1/3
(vi) (xy)^m-n . (yz)^n-1 . (zx)^1-m
Solution:

Question 8.
Show that:

Solution:

Question 9.
Evaluate:

Solution:

Question 10.
Evaluate:

Solution:

Question 11.
(m + n)^-1 (m^-1 + n^-1) = (mn)^-1
Solution:

Question 12.
Prove that:

Solution:

Question 13.
Find the values of n, when:
(i) 12^-5 × 12²ⁿ⁺¹ = 12¹³ ÷ 12⁷
(ii) \frac{a^{2 n-3} \times\left(a^{2} \cdot\right)^{n+1}}{\left(a^{4}\right)^{-3}} = (a³)³ ÷ (a⁶)^-3
Solution:

Question 14.
Simplify:

Solution:

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Selina Class 8 ICSE Solutions Mathematics : Chapter 2- Exponents (Powers)

Download PDF: Selina Class 8 ICSE Solutions Mathematics : Chapter 2- Exponents (Powers) PDF

Chapterwise Selina Publishers ICSE Solutions for Class 8 Mathematics :

• Chapter 1- Rational Numbers
• Chapter 2- Exponents (Powers)
• Chapter 3- Squares and Square Roots
• Chapter 4- Cubes and Cube-Roots
• Chapter 5- Playing with Number
• Chapter 6- Sets
• Chapter 7- Percent and Percentage
• Chapter 8- Profit, Loss and Discount
• Chapter 9- Simple and Compound Interest
• Chapter 10- Direct and Inverse Variations
• Chapter 11- Algebraic Expressions
• Chapter 12- Algebraic Identities
• Chapter 13- Factorisation
• Chapter 14- Linear Equations in one Variable
• Chapter 15- Linear Inequations
• Chapter 16- Understanding Shapes
• Chapter 17- Special Types of Quadrilaterals
• Chapter 18- Constructions
• Chapter 19- Representing 3-D in 2-D
• Chapter 20- Area of Trapezium and a Polygon
• Chapter 21- Surface Area, Volume and Capacity
• Chapter 22- Data Handling
• Chapter 23- Probability

About Selina Publishers ICSE

Selina Publishers has been serving the students since 1976 and is one of the quality ICSE school textbooks publication houses. Mathematics and Science books for classes 6-10 form the core of our business, apart from certain English and Hindi literature as well as a few primary books. All these books are based upon the syllabus published by the Council for the I.C.S.E. Examinations, New Delhi. The textbooks are composed by a panel of subject experts and vetted by teachers practising in ICSE schools all over the country. Continuous efforts are made in complying with the standards and ensuring lucidity and clarity in content, which makes them stand tall in the industry.