# 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 = 3m x 5n; find m and n.
Solution:

Question 3.
Find x, if 9 × 3x = (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:
(xa+b)a-b.(xb+c)b-c.(xc+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)× (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: