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

Evaluate :

………….

Question 1.2

Evaluate :
…………………….

Question 1.3

Evaluate :
…………………….

Question 1.4

Evaluate :
…………………….

Question 1.5

Evaluate :
…………………….

Question 2.1

Simplify :

………….

Question 2.2

Simplify :

………….

Question 2.3

Simplify :

………….

Question 2.4

Simplify :

………….

Question 3.1

Evaluate :
…………………….

Question 3.2

Evaluate :
…………………….

#### Question 4.1

Simplify the following and express with positive index :

………

#### Question 4.2

Simplify the following and express with positive index :

………

#### Question 4.3

Simplify the following and express with positive index :

………

#### Question 4.4

Simplify the following and express with positive index :

………

#### Question 5

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

#### Question 6

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

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

Simplify :

……

Simplify :

……

Show that :

…………..

#### 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

Simplify :

………

Simplify :

………

### 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

Find x, if:

(i) …………………

(ii) ……………..

(iii) ………………

(iv) …………..

#### Question 3

Solve:

(i) 4x – 2 – 2x + 1 = 0

(ii) ……….

#### Question 4

Solve :

(i) 8 22x + 4 2x+1 = 1 + 2x

(ii)22x + 2x+2 – 4 23 = 0

(iii) ………….

#### Question 5

Find the values of m and n if:

……………….

Solve x and y if

……….

Question 7

Prove that:

(i) ………………

(ii) …………

#### Question 8

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

#### Question 9

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

#### Question 10

If 5-P = 4-q = 20r, show that:

#### Question 11

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

x + y + 2 = 0

#### Question 12

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

3x – 3 × 23 – x

Question 13

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

Question 14

9x+2 = 720 + 9x

##### (ii)

Solve for x:

(a3x + 5)2. (ax)4 = a8x + 12

##### (iii)

Solve for x:

………….

(iv)

Solve for x:

23x + 3 = 23x + 1 + 48

##### (v)

Solve for x:

3(2x + 1) – 2x + 2 + 5 = 0

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

Evaluate

(i) …………….

(ii) ………….

(iii)………………..

#### Question 2

Simplify …………

Question 3

Solve: 3x-1× 52y-3 = 225.

#### Question 4

If ………………..find x+y

#### Question 5

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

#### Question 6

If …………………….value of x

#### Question 7

If ………….show that  m-n =1

#### Question 8

Solve for ……………………..

#### Question 9

If …………………..value of …………….

#### Question 10

Solve: 3(2x + 1) – 2x+2 + 5 = 0.

#### Question 11

If (am)n = am .an, find the value of:

m(n – 1) – (n – 1)

#### Question 12

If m……………………..value of m-n ……………..

#### Question 13

Evaluate ………………….

#### Question 14

Question 15 (i)

##### (i)

Prove that  ………………….

Question 16

##### Evaluate ………………….

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

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