FRANK Solutions for Class 9 Maths Chapter 9 - Indices

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Chapter 9 - Indices Exercise Ex. 9.1

Question 9(b)

Solve for x:

3 x 7x = 7 x 3x

Solution 9(b)

Frank Solutions Icse Class 9 Mathematics Chapter - Indices 

Question 9(c)

Solve for x:

2x + 3 + 2x + 1 = 320

Solution 9(c)

Frank Solutions Icse Class 9 Mathematics Chapter - Indices 

Question 1

Frank Solutions Icse Class 9 Mathematics Chapter - Indices

Solution 1

Frank Solutions Icse Class 9 Mathematics Chapter - Indices

Question 2(a)

Evaluate the following:

Frank Solutions Icse Class 9 Mathematics Chapter - Indices 

Solution 2(a)

Frank Solutions Icse Class 9 Mathematics Chapter - Indices

Question 2(b)

Evaluate the following:

Frank Solutions Icse Class 9 Mathematics Chapter - Indices 

Solution 2(b)

Frank Solutions Icse Class 9 Mathematics Chapter - Indices

Question 2(c)

Evaluate the following:

Frank Solutions Icse Class 9 Mathematics Chapter - Indices 

Solution 2(c)

Frank Solutions Icse Class 9 Mathematics Chapter - Indices

Question 3(a)

Write each of the following in the simplest form:

(a3)5 x a4

Solution 3(a)

Frank Solutions Icse Class 9 Mathematics Chapter - Indices

Question 3(b)

Write each of the following in the simplest form:

a2 x a3 ÷ a4

Solution 3(b)

Frank Solutions Icse Class 9 Mathematics Chapter - Indices

Question 3(c)

Write each of the following in the simplest form:

Frank Solutions Icse Class 9 Mathematics Chapter - Indices 

Solution 3(c)

Frank Solutions Icse Class 9 Mathematics Chapter - Indices

Question 3(d)

Write each of the following in the simplest form:

a-3 x a2 x a0

Solution 3(d)

Frank Solutions Icse Class 9 Mathematics Chapter - Indices

Question 3(e)

Write each of the following in the simplest form:

(b-2 - a-2) ÷ (b-1 - a-1)

Solution 3(e)

Frank Solutions Icse Class 9 Mathematics Chapter - Indices

Question 4

Frank Solutions Icse Class 9 Mathematics Chapter - Indices

Solution 4

Frank Solutions Icse Class 9 Mathematics Chapter - Indices

Question 5(a)

Simplify the following and express with positive index:

3p-2q3 ÷ 2p3q-2

Solution 5(a)

Frank Solutions Icse Class 9 Mathematics Chapter - Indices

Question 5(b)

Simplify the following and express with positive index:

Frank Solutions Icse Class 9 Mathematics Chapter - Indices 

Solution 5(b)

Frank Solutions Icse Class 9 Mathematics Chapter - Indices

Question 6

Frank Solutions Icse Class 9 Mathematics Chapter - Indices

Solution 6

Frank Solutions Icse Class 9 Mathematics Chapter - Indices

Question 7(a)

Simplify the following:

Frank Solutions Icse Class 9 Mathematics Chapter - Indices

Solution 7(a)

Frank Solutions Icse Class 9 Mathematics Chapter - Indices

Question 7(b)

Simplify the following:

Frank Solutions Icse Class 9 Mathematics Chapter - Indices 

Solution 7(b)

Frank Solutions Icse Class 9 Mathematics Chapter - Indices

Question 7(c)

Simplify the following:

Frank Solutions Icse Class 9 Mathematics Chapter - Indices 

Solution 7(c)

Frank Solutions Icse Class 9 Mathematics Chapter - Indices

Question 7(d)

Simplify the following:

Frank Solutions Icse Class 9 Mathematics Chapter - Indices 

Solution 7(d)

Frank Solutions Icse Class 9 Mathematics Chapter - Indices

Question 7(e)

Simplify the following:

Frank Solutions Icse Class 9 Mathematics Chapter - Indices 

Solution 7(e)

Frank Solutions Icse Class 9 Mathematics Chapter - Indices

Question 7(f)

Simplify the following:

Frank Solutions Icse Class 9 Mathematics Chapter - Indices 

Solution 7(f)

Frank Solutions Icse Class 9 Mathematics Chapter - Indices

Question 7(g)

Simplify the following:

Frank Solutions Icse Class 9 Mathematics Chapter - Indices 

Solution 7(g)

Frank Solutions Icse Class 9 Mathematics Chapter - Indices

Question 7(h)

Simplify the following:

xm +2n. x3m-8n÷ x5m- 60

Solution 7(h)

Frank Solutions Icse Class 9 Mathematics Chapter - Indices

Question 7(i)

Simplify the following:

Frank Solutions Icse Class 9 Mathematics Chapter - Indices 

Solution 7(i)

Frank Solutions Icse Class 9 Mathematics Chapter - Indices

Question 7(j)

Simplify the following:

Frank Solutions Icse Class 9 Mathematics Chapter - Indices 

Solution 7(j)

Frank Solutions Icse Class 9 Mathematics Chapter - Indices

Question 8

Frank Solutions Icse Class 9 Mathematics Chapter - Indices

Solution 8

Frank Solutions Icse Class 9 Mathematics Chapter - Indices

Question 9(a)

Solve for x:

22x + 1 = 8

Solution 9(a)

Frank Solutions Icse Class 9 Mathematics Chapter - Indices

Question 9(d)

Solve for x:

9 x 3x = (27)2x - 5

Solution 9(d)

Frank Solutions Icse Class 9 Mathematics Chapter - Indices

Question 9(e)

Solve for x:

22x + 3 - 9 x 2x + 1 = 0

Solution 9(e)

Frank Solutions Icse Class 9 Mathematics Chapter - Indices 

Question 9(f)

Solve for x:

1 = px

Solution 9(f)

Frank Solutions Icse Class 9 Mathematics Chapter - Indices

Question 9(g)

Solve for x:

P3 x p-2 = px

Solution 9(g)

Frank Solutions Icse Class 9 Mathematics Chapter - Indices 

Question 9(h)

Solve for x:

Frank Solutions Icse Class 9 Mathematics Chapter - Indices 

Solution 9(h)

Frank Solutions Icse Class 9 Mathematics Chapter - Indices

Question 9(i)

Solve for x:

Frank Solutions Icse Class 9 Mathematics Chapter - Indices

Solution 9(i)

Frank Solutions Icse Class 9 Mathematics Chapter - Indices

Question 9(j)

Solve for x:

Frank Solutions Icse Class 9 Mathematics Chapter - Indices 

Solution 9(j)

Frank Solutions Icse Class 9 Mathematics Chapter - Indices

Question 9(k)

Solve for x:

22x- 1 -9 x 2x - 2 + 1= 0

Solution 9(k)

Frank Solutions Icse Class 9 Mathematics Chapter - Indices 

Question 9(l)

Solve for x:

Frank Solutions Icse Class 9 Mathematics Chapter - Indices

Solution 9(l)

Frank Solutions Icse Class 9 Mathematics Chapter - Indices

Question 9(m)

Solve for x:

Frank Solutions Icse Class 9 Mathematics Chapter - Indices 

Solution 9(m)

Frank Solutions Icse Class 9 Mathematics Chapter - Indices

Question 9(n)

Solve for x:

Frank Solutions Icse Class 9 Mathematics Chapter - Indices 

Solution 9(n)

Frank Solutions Icse Class 9 Mathematics Chapter - Indices

Question 9(o)

Solve for x:

9x + 4 = 32 x (27)x+1

Solution 9(o)

Frank Solutions Icse Class 9 Mathematics Chapter - Indices

Question 10

Frank Solutions Icse Class 9 Mathematics Chapter - Indices

Solution 10

Frank Solutions Icse Class 9 Mathematics Chapter - Indices

Question 11

Frank Solutions Icse Class 9 Mathematics Chapter - Indices

Solution 11

Frank Solutions Icse Class 9 Mathematics Chapter - Indices

Question 12

Frank Solutions Icse Class 9 Mathematics Chapter - Indices

Solution 12

Frank Solutions Icse Class 9 Mathematics Chapter - Indices

Question 13

Frank Solutions Icse Class 9 Mathematics Chapter - Indices

Solution 13

Frank Solutions Icse Class 9 Mathematics Chapter - Indices

Question 14

Frank Solutions Icse Class 9 Mathematics Chapter - Indices

Solution 14

Frank Solutions Icse Class 9 Mathematics Chapter - Indices

Question 15

Frank Solutions Icse Class 9 Mathematics Chapter - Indices

Solution 15

Frank Solutions Icse Class 9 Mathematics Chapter - Indices

Question 16

Find the value of (8p)p if 9p + 2 - 9p = 240.

Solution 16

Frank Solutions Icse Class 9 Mathematics Chapter - Indices

Question 17

If ax = by = cz and abc = 1, show that

Frank Solutions Icse Class 9 Mathematics Chapter - Indices

Solution 17

Frank Solutions Icse Class 9 Mathematics Chapter - Indices

Question 18

Frank Solutions Icse Class 9 Mathematics Chapter - Indices

Solution 18

Frank Solutions Icse Class 9 Mathematics Chapter - Indices

Question 19

If 2250 = 2a. 3b. 5c, find a, b and c. Hence, calculate the value of 3a x 2-b x 5-c.

Solution 19

Frank Solutions Icse Class 9 Mathematics Chapter - Indices

Question 20

Frank Solutions Icse Class 9 Mathematics Chapter - Indices

Solution 20

Frank Solutions Icse Class 9 Mathematics Chapter - Indices

Question 21

Frank Solutions Icse Class 9 Mathematics Chapter - Indices

Solution 21

Frank Solutions Icse Class 9 Mathematics Chapter - Indices

Question 22(a)

Find the value of 'a' and 'b' if:

Frank Solutions Icse Class 9 Mathematics Chapter - Indices 

Solution 22(a)

Frank Solutions Icse Class 9 Mathematics Chapter - Indices

Question 22(b)

Find the value of 'a' and 'b' if:

Frank Solutions Icse Class 9 Mathematics Chapter - Indices

Solution 22(b)

Frank Solutions Icse Class 9 Mathematics Chapter - Indices

Question 23(a)

Prove the following:

Frank Solutions Icse Class 9 Mathematics Chapter - Indices

Solution 23(a)

Frank Solutions Icse Class 9 Mathematics Chapter - Indices

Question 23(b)

Prove the following:

Frank Solutions Icse Class 9 Mathematics Chapter - Indices 

Solution 23(b)

Frank Solutions Icse Class 9 Mathematics Chapter - Indices

Question 23(c)

Prove the following:

Frank Solutions Icse Class 9 Mathematics Chapter - Indices 

Solution 23(c)

Frank Solutions Icse Class 9 Mathematics Chapter - Indices

Question 23(d)

Prove the following:

Frank Solutions Icse Class 9 Mathematics Chapter - Indices 

Solution 23(d)

Frank Solutions Icse Class 9 Mathematics Chapter - Indices

Question 23(e)

Prove the following:

(xa)b-c x (xb)c-a x (xc)a-b = 1

Solution 23(e)

Frank Solutions Icse Class 9 Mathematics Chapter - Indices

Question 23(f)

Prove the following:

Frank Solutions Icse Class 9 Mathematics Chapter - Indices

Solution 23(f)

Frank Solutions Icse Class 9 Mathematics Chapter - Indices