Class 9th Maths – RD Sharma Chapter 2 : Exponents of Real Numbers Multiple Choice Questions (MCQs) Solutions (Step-by-Step Guide)

RD Sharma Chapter 2 : Exponents of Real Numbers Multiple Choice Questions (MCQs) Solutions

1. The value (2 – 3(2 – 3^3}^3, is (a) 5 (b) 125 (c) 1/5 (d) -125 Watch Solution
2. The value of x – y^x-y when x = 2 and y = -2, is (a) 18 (b) -18 (c) 14 (d) -14 Watch Solution
3. The product of the square root of x with the cube root of x, is (a) cube root of the square root of x (b) sixth root of the fifth power of x (c) fifth root of the sixth power of x (d) sixth root of x Watch Solution
4. The seventh root of x divided by the eighth root of x, is Watch Solution
5. The square root of 64 divided by the cube root of 64 is Watch Solution
6. The value of [(23 + 2^2)^2/3 + (140 – 29)1/2}^2 is Watch Solution
7. When simplified (x^-1+y^-1)^-1 is equal to Watch Solution
8. If 8^x+1 = 64, what is the value of 3^2x+1 ? (a) 1 (b) 3 (c) 9 (d) 27 Watch Solution
9. If (2^3)^2 = 4x, then 3^x = (a) 3 (b) 6 (c) 9 (d) 27 Watch Solution
10. If x^-2 = 64, then x^1/3 + x^0 = (a) 2 (b) 3 (c) 3/2 (d) 2/3 Watch Solution
11. When simplified (-1/27)^-2/3 Watch Solution
12. Which one of the following is not equal to (3√8)^-1/2 ? Watch Solution
13. Which one of the following is not equal to (100/9)^{-3/2}. Watch Solution
14. If a, b, c are positive real number ,then √a^-1b x √b^-1c x √c^-1a is equal to Watch Solution
15. If (2/3)^x (3/2)^2x = 81/16, then x = Watch Solution
16. The value of {8^-4/3 ÷ 2^-2}^1/2, is Watch Solution
17. If a, b, c are positive real number ,then 5√3125a^10 b^5 c^10 is equal to Watch Solution
18. If a, m, n are positive integers, than {m√n√a}^mn is equal to Watch Solution
19. If x = 2 and y = 4, then (x/y)^x-y + (y/x)^y-x = Watch Solution
20. The value of m for which [{(1/7^2}^-1/3}]^1/4 = 7^m, is Watch Solution
21. The value of (0.00243)^3/5 + (0.0256)^3/4 is Watch Solution
22. (256)^0.16 x (256)^0.09 = Watch Solution
23. If 10^2y = 25, then 10^-y equals Watch Solution
24. If 9^x+2 = 240 + 9^x, then x = (a) 0.5 (b) 0.2 (c) 0.4 (d) 0.1 Watch Solution
25. If x is a positive real number and x^2 = 2, then x^3 (a) √2 (b) 2√2 (c) 3√2 (d) 4 Watch Solution
26. If x/x^1.5 = 8x^-1 and x greater than 0, then x = Watch Solution
27. If g = t^2/3 + 4t^-1/2 , what is the value of g when t = 64 ? Watch Solution
28. If4 ^x – 4^x-1 = 24, then (2x)^x equals Watch Solution
29. When simplified (256)^{-(4^-3/2)} , is Watch Solution
30. If (3^{2x-8})/225 = 5^3/5^x, than x = Watch Solution
31. The value of 64^-1/3 (64^1/3 – 64^2/3), is Watch Solution
32. If √5^n = 125, then 5^{n√64} = Watch Solution
33. If (16)^2x+3 = (64)^x+3, then 4^2x-2 = Watch Solution
34. If √5^n =125, then 5^{n√64} = Watch Solution
35. If a, b, c are positive integers such that a^b^c = 256 then the maximum possible value of abc is Watch Solution
36. If a, b, c are positive integers such that a^b^ c= 6561, then the least possible value of abc is Watch Solution
37. If 2^x = 3^y = 6^z, then 1/x = 1/y = 1/z = Watch Solution
38. If x^y = y^z = z^x and xz = y^2, then which of the following is correct ? Watch Solution
39. If 6^x-y = 36 and 3^x+y =729, then x^2 – y^2 = Watch Solution
40. Which is greater among 3^198 , 27^64 , 9^100 and 81 ^49 ? Watch Solution
41. If x√3 × y√5 =10125, then 12xy = Watch Solution
42. If 0 less than y less than x , which statement must be true? (a) √x-√y = √x-y (b) √x+√x = √2x (c) x√y = y√x (d) √xy = √x √y Watch Solution
43. Each of the following questions contains STATEMENT-1 (Assertion) and STATEMENT-2 (Reason) and has following four choices (a), (b), (c) and (d), only one of which is the correct answer. Mark the correct choice. (a) Statement-1 is true, Statement-2 is true; Statement-2 is a correct explanation for Statement-1. (b) Statement-1 is true, Statement-2 is true; Statement-2 is not a correct explanation for Statement-1. (c) Statement-1 is true, Statement-2 is false. (d) Statement-1 is false, Statement-2 is true. Satement-1 (assertion): [{(1/7^2)^-2}^-1/3]^-1/4 = 7^-1/3 Satement-2 (reason): ((a^m)^n)^s = a^mns, a greater than, o. Watch Solution
44. Statement-1 (assertion):if a^x = b^y = c^z = abc, then xy + yz + zx + xyz Statement – 2 (Reason) : a^n = k, then a = k^1/n Watch Solution
45. Statement-1 (assertion): 7√7√7v7 = 16√7^15 Statement-2 : (reason): a√a√a…..n term = a^2n-1/2n Watch Solution
46. Statements -1 (assertion): √5√5√5v5…..∞ = 5√5. Statements -2 (reason) : √x√x√xvx…..∞ = x greater than 0 Watch Solution
47. Statements -1 (assertion): √6+√6+√6+√6+……..8=3. Statement -2( reason) √x+√+x√+x……..8 = x, x greater than 0. Watch Solution
48. Statement -1 (assertion) : if m, n are positive integers, than for any positive real number a, {m√n√a}^mn = a. Statement-2 (reason): if m, n, p are rational number and a is any positive real number, than ((a^m)n)^p = a^mnp. Watch Solution

 

2. Exponents of Real Numbers – R.D. Sharma Class 9th Maths

1. Exponents of a Real Numbers Exercise 2.1 Video Solutions
2. Exponents of a Real Numbers Exercise 2.2 Video Solutions
3. Exponents of a Real Numbers Very Short Answer Questions (VSAQs) Video Solutions
4. Exponents of a Real Numbers Fill in the Blanks (FBQs) Video Solutions
5. Exponents of a Real Numbers Multiple Choice Questions (MCQs) Video Solutions