Indices Exponents Concise Class-9th ICSE Maths Selina Publications Solutions Chapter-7. We provide step by step Solutions of Exercise / Lesson-7 Indices Exponents for ICSE Class-9 Concise Selina Mathematics by RK Bansal.

Our Solutions contain all type Questions with Exe-7 A, Exe-7 B, Exe-7 C to develop skill and confidence. Visit official Website CISCE for detail information about ICSE Board Class-9 Mathematics .

Indices Exponents Concise Class-9th ICSE Maths Selina Publications Solutions Chapter-7

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–: Select Topics :–

 

Exe-7 A,

Exe-7 B,

Exe-7 C,

 

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Exercise – 7(A), Indices Exponents Concise Class-9th ICSE Maths Selina Publications Solutions

 

Question 1.1

Evaluate :

………….

Answer

Question 1.2

Evaluate :
…………………….

Answer

Question 1.3

Evaluate :
…………………….

Answer

Question 1.4

Evaluate :
…………………….

Answer

Question 1.5

Evaluate :
…………………….

Answer

Question 2.1

Simplify :

………….

Answer

Question 2.2

Simplify :

………….

Answer

Question 2.3

Simplify :

………….

Answer

Question 2.4

Simplify :

………….

Answer

Question 3.1

Evaluate :
…………………….

Answer

Question 3.2

Evaluate :
…………………….

Answer

Question 4.1

Simplify the following and express with positive index :

………

Answer

 Question 4.2

Simplify the following and express with positive index :

………

Answer

Question 4.3

Simplify the following and express with positive index :

………

Answer

Question 4.4

Simplify the following and express with positive index :

………

Answer

 Question 5

Answer

 Question 6

Answer

1960 = 2^a x 5^b x 7^c
⇒ 2 x 2 x 2 x 5 x 7 x 7 = 2^a x 5^b x 7^c
⇒ 2³ x 5¹ x 7² = 2^a x 5^b x 7^c
⇒  2^ax 5^b x 7^c = 2³ x 5¹ x 7²
Comparing powers of 2,5 and 7 on the both sides of equation, We have
a = 3; b = 1 and c = 2
Hence,
Value of 2^-a x 7^b x 5^-c

= 2^-3 x 7¹ x 5^-2

 Question 7.1

Simplify :

……

Answer

Question 7.2

Simplify :

……

Answer

Question 8

Show that :

…………..

Answer

 Question 9

If a = x^{m + n}. y^l ; b = x^n + l. y^m and c = x^{l + m}. yⁿ,

Prove that : a^{m – n}. b^n – l. c^{l – m} = 1

Answer

Question 10.1

Simplify :

………

Answer

Question 10.2

Simplify :

………

Answer

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Concise Selina Solutions for ICSE Class-9th Maths Indices Exponents Exercise – 7(B)

 

Question 1

Solve for x:

(i) 2^2x+1 = 8

(ii) 2^5x-1 = 4 2^{3x + 1}

(iii) 3^{4x + 1} = (27)^{x + 1}

(iv) (49)^{x + 4} = 7² (343)^{x + 1}

Answer 1

Question 2

Find x, if:

(i) …………………

(ii) ……………..

(iii) ………………

(iv) …………..

Answer 2

Question 3

Solve:

(i) 4^{x – 2} – 2^{x + 1} = 0

(ii) ……….

Answer 3

Question 4

Solve :

(i) 8 2^2x + 4 2^x+1 = 1 + 2^x

(ii)2^2x + 2^x+2 – 4 2³ = 0

(iii) ………….

Answer 4

Question 5

Find the values of m and n if:

……………….

Answer 5

Question 6

Solve x and y if

……….

Answer 6

Question 7

Question 7

Prove that:

(i) _{………………}

(ii) …………

Answer 7

Question 8

If a^x = b, b^y = c and c^z = a, prove that: xyz = 1.

Answer 8

Question 9 

If a^x = b^y = c^z and b² = ac, prove that :…………….

Answer

Question 10

If 5^-P = 4^-q = 20^r, show that:

Answer

Question 11

If m ≠ n and (m + n)^-1 (m^-1 + n^-1) = m^xn^y, show that:

x + y + 2 = 0

Answer

Question 12

If 5^{x + 1} = 25^{x – 2}, find the value of

3^{x – 3} × 2^{3 – x}

Answer

Question 13

If 4^{x + 3} = 112 + 8 × 4^x, find the value of (18x)^3x.

Answer

Question 14

(i)

9^x+2 = 720 + 9^x

Answer 14 (i)

(ii)

Solve for x:

(a^{3x + 5})². (a^x)⁴ = a^{8x + 12}

Answer

(iii)

Solve for x:

………….

Answer

(iv)

Solve for x:

2^{3x + 3} = 2^{3x + 1} + 48

Answer

(v)

Solve for x:

3(2^x + 1) – 2^{x + 2} + 5 = 0

Answer

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Indices Exponents  Exercise – 7(C) Concise Selina Solutions for ICSE Class-9th Maths

Question 1

Evaluate

(i) _{…………….}

(ii) ………….

(iii)………………..

Answer

Question 2

Simplify …………

Answer 2

Question 3

Solve: 3^x-1× 5^2y-3 = 225.

Answer 3

Question 4

If ………………..find x+y

Answer 4

Question 5

If 3^x+1 = 9^x-3, find the value of 2^1+x.

Answer

Question 6

If …………………….value of x

Answer 6

Question 7

If ………….show that  m-n =1

Answer 7

Question 8

Solve for ……………………..

Answer 8

Question 9 

If …………………..value of …………….

Answer

Question 10

Solve: 3(2^x + 1) – 2^x+2 + 5 = 0.

Answer

Question 11

If (a^m)ⁿ = a^m .aⁿ, find the value of:

m(n – 1) – (n – 1)

Answer

Question 12

 If m……………………..value of m-n ……………..

Answer

Question 13

Evaluate ………………….

Answer

Question 14

Evaluate ………………….

Answer 14

Question 15 (i)

Prove that  ………………….

Answer 15 (i)

(i)

Prove that  ………………….

Answer

Question 16

Evaluate ………………….

Answer 16

 

— End of Indices Exponents Concise Class-9th Solutions :–

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