Indices Exponents Concise Class-9th ICSE Maths Selina Publications

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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


–: Select Topics :–

 

Exe-7 A,

Exe-7 B,

Exe-7 C,

 


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

 

Question 1.1

Evaluate :

………….

Answer

Ans 1.1 Exercise - 7(A) Indices ICSE Class-9th Concise Selina Maths

Question 1.2

Evaluate :
…………………….

Answer

Ans 1.2 Exercise - 7(A) Indices ICSE Class-9th Concise Selina Maths

Question 1.3

Evaluate :
…………………….

Answer

Ans 1.3 Exercise - 7(A) Indices ICSE Class-9th Concise Selina Maths

Question 1.4

Evaluate :
…………………….

Answer

Ans 1.4 Exercise - 7(A) Indices ICSE Class-9th Concise Selina Maths

Question 1.5

Evaluate :
…………………….

Answer

Ans 1.5 Exercise - 7(A) Indices ICSE Class-9th Concise Selina Maths

Question 2.1

Simplify :

………….

Answer

Ans 2.1 Exercise - 7(A) Indices ICSE Class-9th Concise Selina Maths

Question 2.2

Simplify :

………….

Answer

Ans 2.2 Exercise - 7(A) Indices ICSE Class-9th Concise Selina Maths

Question 2.3

Simplify :

………….

Answer

Ans 2.3 Exercise - 7(A) Indices ICSE Class-9th Concise Selina Maths

Question 2.4

Simplify :

………….

Answer

Ans 2.4 Exercise - 7(A) Indices ICSE Class-9th Concise Selina Maths

Question 3.1

Evaluate :
…………………….

Answer

Ans 3.1 Exercise - 7(A) Indices ICSE Class-9th Concise Selina Maths

Question 3.2

Evaluate :
…………………….

Answer

Ans 3.2 Exercise - 7(A) Indices ICSE Class-9th Concise Selina Maths

Question 4.1

Simplify the following and express with positive index :

………

Answer

Ans 4.1 Exercise - 7(A) Indices ICSE Class-9th Concise Selina Maths

 Question 4.2

Simplify the following and express with positive index :

………

Answer

Ans 4.2 Exercise - 7(A) Indices ICSE Class-9th Concise Selina Maths

Question 4.3

Simplify the following and express with positive index :

………

Answer

Ans 4.3 Exercise - 7(A) Indices ICSE Class-9th Concise Selina Maths

Question 4.4

Simplify the following and express with positive index :

………

Answer

Ans 4.4 Exercise - 7(A) Indices ICSE Class-9th Concise Selina Maths

 Question 5

If 2160 = 2a. 3b. 5c, find a, b and c. Hence calculate the value of 3a  x 2-b x 5-c.

Answer

Ans 5 Exercise - 7(A) Indices ICSE Class-9th Concise Selina Maths

 Question 6

If 1960 = 2a. 5b. 7c, calculate the value of 2-a. 7b. 5-c.

Answer

1960 = 2a x 5b x 7c
⇒ 2 x 2 x 2 x 5 x 7 x 7 = 2x 5x 7c
⇒ 2x 51 x 7= 2a x 5x 7c
⇒  2ax 5b x 7c = 2x 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 7b x 5-c

= 2-3 x 71 x 5-2

Ans 6 Exercise - 7(A) Indices ICSE Class-9th Concise Selina Maths

 Question 7.1

Simplify :

……

Answer

Ans 7.1 Exercise - 7(A) Indices ICSE Class-9th Concise Selina Maths

Question 7.2

Simplify :

……

Answer

Ans 7.2 Exercise - 7(A) Indices ICSE Class-9th Concise Selina Maths

Question 8

Show that :

…………..

Answer

Ans 8 Exercise - 7(A) Indices ICSE Class-9th Concise Selina Maths

 Question 9

If a = xm + n. y; b = xn + l. ym and c = xl + m. yn,

Prove that : am – n. bn – l. cl – m = 1

Answer

Ans 9 Exercise - 7(A) Indices ICSE Class-9th Concise Selina Maths

Question 10.1

Simplify :

………

Answer

Ans 10.1 Exercise - 7(A) Indices ICSE Class-9th Concise Selina Maths

Question 10.2

Simplify :

………

Answer

Ans 10.2 Exercise - 7(A) Indices ICSE Class-9th Concise Selina Maths


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

 

Question 1

Solve for x:

(i) 22x+1 = 8

(ii) 25x-1 = 4 23x + 1

(iii) 34x + 1 = (27)x + 1

(iv) (49)x + 4 = 72 (343)x + 1

Answer 1

Ans 1 Exercise - 7(B) Indices ICSE Class-9th Concise Selina Maths Solutions

Question 2

Find x, if:

(i) …………………

(ii) ……………..

(iii) ………………

(iv) …………..

Answer 2

Ans 2 Exercise - 7(B) Indices ICSE Class-9th Concise Selina Maths Solutions

Question 3

Solve:

(i) 4x – 2 – 2x + 1 = 0

(ii) ……….

Answer 3

Ans 3 Exercise - 7(B) Indices ICSE Class-9th Concise Selina Maths Solutions

Question 4

Solve :

(i) 8 22x + 4 2x+1 = 1 + 2x

(ii)22x + 2x+2 – 4 23 = 0

(iii) ………….

Answer 4

Ans 4 Exercise - 7(B) Indices ICSE Class-9th Concise Selina Maths Solutions

Question 5

Find the values of m and n if:

……………….

Answer 5

Ans 5 Exercise - 7(B) Indices ICSE Class-9th Concise Selina Maths Solutions

Question 6

Solve x and y if

……….

Answer 6

Ans 6 Exercise - 7(B) Indices ICSE Class-9th Concise Selina Maths Solutions

Question 7

Question 7

Prove that:

(i) ………………

(ii) …………

Answer 7

Ans 7 Exercise - 7(B) Indices ICSE Class-9th Concise Selina Maths Solutions

Question 8

If ax = b, by = c and cz = a, prove that: xyz = 1.

Answer 8

Ans 8 Exercise - 7(B) Indices ICSE Class-9th Concise Selina Maths Solutions

Question 9 

If ax = by = cz and b2 = ac, prove that :…………….

Answer

Ans 9 Exercise - 7(B) Indices ICSE Class-9th Concise Selina Maths Solutions

Question 10

If 5-P = 4-q = 20r, show that:

Answer

Ans 10 Exercise - 7(B) Indices ICSE Class-9th Concise Selina Maths Solutions

Question 11

If m ≠ n and (m + n)-1 (m-1 + n-1) = mxny, show that:

x + y + 2 = 0

Answer

Ans 11 Exercise - 7(B) Indices ICSE Class-9th Concise Selina Maths Solutions

Question 12

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

3x – 3 × 23 – x

Answer

Ans 12 Exercise - 7(B) Indices ICSE Class-9th Concise Selina Maths Solutions

Question 13

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

Answer

Ans 13 Exercise - 7(B) Indices ICSE Class-9th Concise Selina Maths Solutions

Question 14

(i)

9x+2 = 720 + 9x

Answer 14 (i)

Ans 14 (i) Exercise - 7(B) Indices ICSE Class-9th Concise Selina Maths Solutions

(ii)

Solve for x:

(a3x + 5)2. (ax)4 = a8x + 12

Answer

Ans 14 (ii) Exercise - 7(B) Indices ICSE Class-9th Concise Selina Maths Solutions

(iii)

Solve for x:

………….

Answer

Ans 14 (iii) Exercise - 7(B) Indices ICSE Class-9th Concise Selina Maths Solutions

(iv)

Solve for x:

23x + 3 = 23x + 1 + 48

Answer

Ans 14 (iv) Exercise - 7(B) Indices ICSE Class-9th Concise Selina Maths Solutions

(v)

Solve for x:

3(2x + 1) – 2x + 2 + 5 = 0

Answer

Ans 14 (v) Exercise - 7(B) Indices ICSE Class-9th Concise Selina Maths Solutions


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

Question 1

Evaluate

(i) …………….

(ii) ………….

(iii)………………..

Answer

Ans 1 Exercise - 7(C) Indices ICSE Class-9th Concise Selina Maths Solutions

Question 2

Simplify …………

Answer 2

Ans 2 Exercise - 7(C) Indices ICSE Class-9th Concise Selina Maths Solutions

Question 3

Solve: 3x-1× 52y-3 = 225.

Answer 3

Ans 3 Exercise - 7(C) Indices ICSE Class-9th Concise Selina Maths Solutions

Question 4

If ………………..find x+y

Answer 4

Ans 4 Exercise - 7(C) Indices ICSE Class-9th Concise Selina Maths Solutions

Question 5

If 3x+1 = 9x-3, find the value of 21+x.

Answer

Ans 5 Exercise - 7(C) Indices ICSE Class-9th Concise Selina Maths Solutions

Question 6

If …………………….value of x

Answer 6

Ans 6 Exercise - 7(C) Indices ICSE Class-9th Concise Selina Maths Solutions

Question 7

If ………….show that  m-n =1

Answer 7

Ans 7 Exercise - 7(C) Indices ICSE Class-9th Concise Selina Maths Solutions

Question 8

Solve for ……………………..

Answer 8

Ans 8 Exercise - 7(C) Indices ICSE Class-9th Concise Selina Maths Solutions

Question 9 

If …………………..value of …………….

Answer

Ans 9 Exercise - 7(C) Indices ICSE Class-9th Concise Selina Maths Solutions

Question 10

Solve: 3(2x + 1) – 2x+2 + 5 = 0.

Answer

Ans 10 Exercise - 7(C) Indices ICSE Class-9th Concise Selina Maths Solutions

Question 11

If (am)n = am .an, find the value of:

m(n – 1) – (n – 1)

Answer

Ans 11 Exercise - 7(C) Indices ICSE Class-9th Concise Selina Maths Solutions

Question 12

 If m……………………..value of m-n ……………..

Answer

Ans 12 Exercise - 7(C) Indices ICSE Class-9th Concise Selina Maths Solutions

Question 13

Evaluate ………………….

Answer

Ans 13 Exercise - 7(C) Indices ICSE Class-9th Concise Selina Maths Solutions

Question 14

Evaluate ………………….

Answer 14

Ans 14 Exercise - 7(C) Indices ICSE Class-9th Concise Selina Maths Solutions

Question 15 (i)

Prove that  ………………….

Answer 15 (i)

Answer 15 (i) Exercise - 7(C) Indices ICSE Class-9th Concise Selina Maths Solutions

(i)

Prove that  ………………….

Answer

Answer 15 (ii) Exercise - 7(C) Indices ICSE Class-9th Concise Selina Maths Solutions

Question 16

Evaluate ………………….

Answer 16

Answer 16 Exercise - 7(C) Indices ICSE Class-9th Concise Selina Maths Solutions

 

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


Return to Concise Selina Maths Solutions for ICSE Class -9


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