OP Malhotra Class 9 Maths Solutions Chapter 6 Indices/Exponents Ex 6(A)

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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) x^2a+b-c.x^2c+a-b.x^2b+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) x^2a + 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: