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

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:

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:

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

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:
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Question 14.
Simplify:

Solution:

Selina Concise Mathematics Class 8 ICSE Solutions