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

Selina Publishers Concise Mathematics Class 8 ICSE Solutions Chapter 2 Exponents (Powers)

Exponents Exercise 2A – Selina Concise Mathematics Class 8 ICSE Solutions

Question 1.
Evaluate:
Selina Concise Mathematics Class 8 ICSE Solutions Chapter 2 Exponents (Powers) EX 2A 1
Solution:
Selina Concise Mathematics Class 8 ICSE Solutions Chapter 2 Exponents (Powers) EX 2A 2
Selina Concise Mathematics Class 8 ICSE Solutions Chapter 2 Exponents (Powers) EX 2A 3
Selina Concise Mathematics Class 8 ICSE Solutions Chapter 2 Exponents (Powers) EX 2A 4
Selina Concise Mathematics Class 8 ICSE Solutions Chapter 2 Exponents (Powers) EX 2A 5
Selina Concise Mathematics Class 8 ICSE Solutions Chapter 2 Exponents (Powers) EX 2A 48

Question 2.
If 1125 = 3m x 5n; find m and n.
Solution:
Selina Concise Mathematics Class 8 ICSE Solutions Chapter 2 Exponents (Powers) EX 2A 6

Question 3.
Find x, if 9 × 3x = (27)2x-3
Solution:
Selina Concise Mathematics Class 8 ICSE Solutions Chapter 2 Exponents (Powers) EX 2A 7

Exponents Exercise 2B – Selina Concise Mathematics Class 8 ICSE Solutions

Question 1.
Compute:
Selina Concise Mathematics Class 8 ICSE Solutions Chapter 2 Exponents (Powers) EX 2B 8
Selina Concise Mathematics Class 8 ICSE Solutions Chapter 2 Exponents (Powers) EX 2B 9
Solution:
Selina Concise Mathematics Class 8 ICSE Solutions Chapter 2 Exponents (Powers) EX 2B 10
Selina Concise Mathematics Class 8 ICSE Solutions Chapter 2 Exponents (Powers) EX 2B 11
Selina Concise Mathematics Class 8 ICSE Solutions Chapter 2 Exponents (Powers) EX 2B 12
Selina Concise Mathematics Class 8 ICSE Solutions Chapter 2 Exponents (Powers) EX 2B 13
Selina Concise Mathematics Class 8 ICSE Solutions Chapter 2 Exponents (Powers) EX 2B 14
Selina Concise Mathematics Class 8 ICSE Solutions Chapter 2 Exponents (Powers) EX 2B 15
Selina Concise Mathematics Class 8 ICSE Solutions Chapter 2 Exponents (Powers) EX 2B 16
Selina Concise Mathematics Class 8 ICSE Solutions Chapter 2 Exponents (Powers) EX 2B 17

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:
Selina Concise Mathematics Class 8 ICSE Solutions Chapter 2 Exponents (Powers) EX 2B 18
Selina Concise Mathematics Class 8 ICSE Solutions Chapter 2 Exponents (Powers) EX 2B 19

Question 3.
Evaluate:
Selina Concise Mathematics Class 8 ICSE Solutions Chapter 2 Exponents (Powers) EX 2B 20
Solution:
Selina Concise Mathematics Class 8 ICSE Solutions Chapter 2 Exponents (Powers) EX 2B 21
Selina Concise Mathematics Class 8 ICSE Solutions Chapter 2 Exponents (Powers) EX 2B 22

Question 4.
Simplify:
Selina Concise Mathematics Class 8 ICSE Solutions Chapter 2 Exponents (Powers) EX 2B 23
Solution:
Selina Concise Mathematics Class 8 ICSE Solutions Chapter 2 Exponents (Powers) EX 2B 24
Selina Concise Mathematics Class 8 ICSE Solutions Chapter 2 Exponents (Powers) EX 2B 25
Selina Concise Mathematics Class 8 ICSE Solutions Chapter 2 Exponents (Powers) EX 2B 26

Question 5.
Simplify:
(xa+b)a-b.(xb+c)b-c.(xc+a)c-a
Solution:
Selina Concise Mathematics Class 8 ICSE Solutions Chapter 2 Exponents (Powers) EX 2B 27

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:
Selina Concise Mathematics Class 8 ICSE Solutions Chapter 2 Exponents (Powers) EX 2B 28
Selina Concise Mathematics Class 8 ICSE Solutions Chapter 2 Exponents (Powers) EX 2B 29

Question 7.
(i) (a-2)-2. (ab)-3
(ii) (xny-m)× (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:
Selina Concise Mathematics Class 8 ICSE Solutions Chapter 2 Exponents (Powers) EX 2B 30
Selina Concise Mathematics Class 8 ICSE Solutions Chapter 2 Exponents (Powers) EX 2B 31
Selina Concise Mathematics Class 8 ICSE Solutions Chapter 2 Exponents (Powers) EX 2B 32
Selina Concise Mathematics Class 8 ICSE Solutions Chapter 2 Exponents (Powers) EX 2B 33

Question 8.
Show that:
Selina Concise Mathematics Class 8 ICSE Solutions Chapter 2 Exponents (Powers) EX 2B 34
Solution:
Selina Concise Mathematics Class 8 ICSE Solutions Chapter 2 Exponents (Powers) EX 2B 35

Question 9.
Evaluate:
Selina Concise Mathematics Class 8 ICSE Solutions Chapter 2 Exponents (Powers) EX 2B 36
Solution:
Selina Concise Mathematics Class 8 ICSE Solutions Chapter 2 Exponents (Powers) EX 2B 37

Question 10.
Evaluate:
Selina Concise Mathematics Class 8 ICSE Solutions Chapter 2 Exponents (Powers) EX 2B 38
Solution:
Selina Concise Mathematics Class 8 ICSE Solutions Chapter 2 Exponents (Powers) EX 2B 39

Question 11.
(m + n)-1 (m-1 + n-1) = (mn)-1
Solution:
Selina Concise Mathematics Class 8 ICSE Solutions Chapter 2 Exponents (Powers) EX 2B 40

Question 12.
Prove that:
Selina Concise Mathematics Class 8 ICSE Solutions Chapter 2 Exponents (Powers) EX 2B 41
Solution:
Selina Concise Mathematics Class 8 ICSE Solutions Chapter 2 Exponents (Powers) EX 2B 42
Selina Concise Mathematics Class 8 ICSE Solutions Chapter 2 Exponents (Powers) EX 2B 43

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:
</spanSelina Concise Mathematics Class 8 ICSE Solutions Chapter 2 Exponents (Powers) EX 2B 44
Selina Concise Mathematics Class 8 ICSE Solutions Chapter 2 Exponents (Powers) EX 2B 45

Question 14.
Simplify:
Selina Concise Mathematics Class 8 ICSE Solutions Chapter 2 Exponents (Powers) EX 2B 46
Solution:
Selina Concise Mathematics Class 8 ICSE Solutions Chapter 2 Exponents (Powers) EX 2B 47

Selina Concise Mathematics Class 8 ICSE Solutions