CA Foundation | Quantitative Aptitude | Indices | Exercise 1 C | ICAI Module Solutions |

CA Foundation Chapter - 1 Unit 3 : INDICES (Exercise 1C - ICAI Study material)

This video explains the solution of all the problems of Exercise 1C of Unit 3 Indices (Chapter 1 in CA Foundation Quantitative Aptitude study material book provided by ICAI).

Click the time stamp to jump to the required question's solution, or watch it all :-

00:00 Intro
00:06 Question 1 - (4x)^(–1/4) is expressed as...?
00:45 Question 2 - The value of 8^(1/3) is...?
01:22 Question 3 - The value of 2 × (32)^(1/5) is...?
02:08 Question 4 - The value of 4 / (32)^(1/5) is...?
02:52 Question 5 - The value of (8/27)^(1/3) is...?
03:43 Question 6 - The value of 2(256)^(–1/8) is...?
04:43 Question 7 - 2^½ x 4^¾ is equal to...?
05:59 Question 8 - (((81x)^(4)) / (y^(-8)))^1/4 has simplified value equal to...?
07:30 Question 9 - x^(a–b) × x^(b–c) × x^(c–a) is equal to...?
08:32 Question 10 - The value of ((2p^2q^3) / (3xy))^(0) where p, q, x, y is not equal to 0 is equal to...?
09:08 Question 11 - ((3^3)^2 × (4^2)^3 × (5^3)^2) / ((3^2)^3 × (4^3)^2 × (5^2)^3) is...?
10:45 Question 12 - Which is True ? 2^0 greater than (1/2)^0 OR 2^0 less than (1/2)^0 OR 2^0 = (1/2)^0 OR none of these
11:29 Question 13 - If x^(1/p) = y^(1/q) = z^(1/r) and xyz = 1, then the value of p + q + r is...?
13:45 Question 14 - The value of y^(a–b) × y^(b–c) × y^(c–a) × y^(–a–b) is...?
15:10 Question 15 - The True option is ? x^2/3 = cuberootx^2 OR x^2/3 = sqrtx^3 OR x^2/3 greater than cuberootx^2 OR x^2/3 less than cuberootx^2
15:54 Question 16 - The simplified value of (16x^(–3)y^(2)) × (8^(–1)x^(3)y^(–2)) is...?
17:06 Question 17 - The value of (8/27)^(–1/3) × (32/243)^(–1/5) is...?
19:08 Question 18 - The value of {(x + y)^2/3 (x – y)^2/3 / (sqrt(x+y)) × (sqrt(x – y)3)^6 is
22:22 Question 19 - Simplified value of (125)^2/3 × √25 × 3√53 × 5^1/2 is
23:49 Question 20 - [{(2)1/2 . (4)3/4 . (8)5/6 . (16)7/8 . (32)9/10}4]3/25 is
26:52 Question 21 - [1-{1-(1-x^2)^-1}^-1]^-1/2 is equal to
29:46 Question 22 - {(x^n^(n-1)/n}1/n+1 is equal to
31:16 Question 23 - If a^3 –b^3 = (a–b) (a^2 + ab + b^2 ), then the simplified form of
34:36 Question 24 - Using (a–b)^3 = a^3 –b^3 –3ab(a–b) tick the correct of these when x = p^1/3 – p^–1/3
37:31 Question 25 - On simplification 1/(1+a^m-n+a^m-p)+1/(1+a^n-m+a^n-p)+1/(1+a^p-m+a^p-n) is equal to
41:53 Question 26 - The value of (x^a/x^b)^a+b*(x^b/x^c)^b+c*(x^c/x^a)^c+a
43:42 Question 27 - If x= 3^1/3 + 3 ^-1/3 ,then 3x^3 -9x is
46:43 Question 28 - If a^x = b, b^y = c, c^z = a , then the value of xyz is
48:14 Question 29 - The value of (xa/xb)^(a^2+ab+b^2)×(xb /xc)^(b^2 +bc+c^2)×(xc/xa)^(c^2+ca+a^2)
50:43 Question 30 - If If 2^x = 3^y = 6^-z, 1/x + 1/y + 1/z is
52:49 End Screen

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