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## S Chand Class 9 ICSE Maths Solutions Chapter 6 Indices/Exponents Ex 6(A)

Question 1.
Write the products in the exponential form:
(i) (x . x . x . x. x) (x. x)
(ii) -1 (n . n. n) (n . n)
(iii) y8 x y5 x y²
(iv) – x (- x4)
(v) (3a7b8c9) x (5a27b16c8)
(vi) (x + 2)² . (x + 2)4
(vii) (2m – 32n)3a-2b x (2m – 3n)6a+10b
(viii) x2a+b-c.x2c+a-b.x2b+c-a
Solution:

Question 2.
Write each expression in the simpler form:
(i) xy³
(ii) (-x)5
(iii) (-2xy)4
(iv) $$\frac { 1 }{ 2 }$$
(v) (x²)5
(vi) (73)8
(vii) (6a2)3
(viii) (-x²y3)3
(ix) (p²)5 x (p³)²
(x) 3 (x4y3)10 x 5(x²y²)³
(xi) $$\left(\frac{c^3}{d^2}\right)^7$$
(xii) $$\left(\frac{3 p^2}{4 q^2}\right)^n$$
(xiii) $$\left(\frac{a^2 b^2}{x^2 y^3}\right)^m$$
Solution:

Question 3.
Find the quotient:
(i) x6 + x²
(ii) x2a + x4
(iii) $$\frac{p^5 q^3}{p^3 q^2}$$
(iv) $$\left(-8 x^{27} y^{21}\right) \div\left(-16 x^6 y^{17}\right)$$
(v) $$\left(-8 x^{27} y^{21}\right) \div\left(-16 x^6 y^{17}\right)$$
(vi) $$\frac{4 p q^2\left(-5 p q^3\right)}{10 p^2 q^2}$$
(vii)$$\frac{\left(-4 a b^2\right)^2}{16 a b}$$
(viii) $$\frac{x^{a-b} y^{c-d}}{x^{2 b-a} y^c}$$
(ix) $$\frac{\left(m^{3 n-9}\right)^6}{m^{2 n-4}}$$
(x) $$\left[\frac{\left(x^{2 a-4}\right)^2}{x^{a+5}}\right]^3$$
Solution: