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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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
If 2160 = 2a. 3b. 5c, find a, b and c. Hence calculate the value of 3a x 2-b x 5-c.
Answer
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 = 2a x 5b x 7c
⇒ 23 x 51 x 72 = 2a x 5b x 7c
⇒ 2ax 5b x 7c = 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 7b 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 = xm + n. yl ; b = xn + l. ym and c = xl + m. yn,
Prove that : am – n. bn – l. cl – m = 1
Answer
Question 10.1
Simplify :
………
Answer
Question 10.2
Simplify :
………
Answer
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
Question 2
Find x, if:
(i) …………………
(ii) ……………..
(iii) ………………
(iv) …………..
Answer 2
Question 3
Solve:
(i) 4x – 2 – 2x + 1 = 0
(ii) ……….
Answer 3
Question 4
Solve :
(i) 8 22x + 4 2x+1 = 1 + 2x
(ii)22x + 2x+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 ax = b, by = c and cz = a, prove that: xyz = 1.
Answer 8
Question 9
If ax = by = cz and b2 = ac, prove that :…………….
Answer
Question 10
If 5-P = 4-q = 20r, show that:
Answer
Question 11
If m ≠ n and (m + n)-1 (m-1 + n-1) = mxny, show that:
x + y + 2 = 0
Answer
Question 12
If 5x + 1 = 25x – 2, find the value of
3x – 3 × 23 – x
Answer
Question 13
If 4x + 3 = 112 + 8 × 4x, find the value of (18x)3x.
Answer
Question 14
(i)
9x+2 = 720 + 9x
Answer 14 (i)
(ii)
Solve for x:
(a3x + 5)2. (ax)4 = a8x + 12
Answer
(iii)
Solve for x:
………….
Answer
(iv)
Solve for x:
23x + 3 = 23x + 1 + 48
Answer
(v)
Solve for x:
3(2x + 1) – 2x + 2 + 5 = 0
Answer
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: 3x-1× 52y-3 = 225.
Answer 3
Question 4
If ………………..find x+y
Answer 4
Question 5
If 3x+1 = 9x-3, find the value of 21+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(2x + 1) – 2x+2 + 5 = 0.
Answer
Question 11
If (am)n = am .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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