RD Sharma Class 9 Solutions Chapter 2 Exponents of Real Numbers MCQS

These Solutions are part of RD Sharma Class 9 Solutions. Here we have given RD Sharma Class 9 Solutions Chapter 2 Exponents of Real Numbers MCQS

Mark the correct alternative in each of the following:
Question 1.
The value of {2 – 3 (2 – 3)3}3 is
(a) 5
(b) 125
(c) \(\frac { 1 }{ 5 }\)
(d) -125
Solution:
{2 – 3 (2 – 3)3}3 = {2 – 3 (-1)3}3
= {2 – 3 x (-1)}3
= (2 + 3)3 = (5)3
= 125    (b)

Question 2.
The value of x – yx-y when x = 2 and y = -2 is
(a) 18
(b) -18
(c) 14
(d) -14
Solution:
x = 2, y = -2
x-yx-y = 2 – (-2)2 – (-2)
= 2 – (-2)2 + 2 = 2 – (-2)4
= 2 – (+16) = 2 – 16 = -14        (d)

Question 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
Solution:
RD Sharma Class 9 Solutions Chapter 2 Exponents of Real Numbers MCQS Q3.1

Question 4.
The seventh root of x divided by the eighth root of x is
RD Sharma Class 9 Solutions Chapter 2 Exponents of Real Numbers MCQS Q4.1
Solution:
RD Sharma Class 9 Solutions Chapter 2 Exponents of Real Numbers MCQS Q4.2

Question 5.
The square root of 64 divided by the cube root of 64 is
(a) 64
(b) 2
(c) \(\frac { 1 }{ 2 }\)
(d) 64\(\frac { 2 }{ 3 }\)
Solution:
RD Sharma Class 9 Solutions Chapter 2 Exponents of Real Numbers MCQS Q5.1

Question 6.
Which of the following is (are) not equal to
RD Sharma Class 9 Solutions Chapter 2 Exponents of Real Numbers MCQS Q6.1
Solution:
RD Sharma Class 9 Solutions Chapter 2 Exponents of Real Numbers MCQS Q6.2

Question 7.
When simplified (x1 + y1)1 is equal to
RD Sharma Class 9 Solutions Chapter 2 Exponents of Real Numbers MCQS Q7.1
Solution:
RD Sharma Class 9 Solutions Chapter 2 Exponents of Real Numbers MCQS Q7.2

Question 8.
If 8x+1 = 64, what is the value of 3 2x +1?
(a) 1
(b) 3
(c) 9
(d) 27
Solution:
RD Sharma Class 9 Solutions Chapter 2 Exponents of Real Numbers MCQS Q8.1

Question 9.
If (23)2 = 4x then   3x =
(a) 3
(b) 6
(c) 9
(d) 27
Solution:
RD Sharma Class 9 Solutions Chapter 2 Exponents of Real Numbers MCQS Q9.1

Question 10.
If x-2= 64, then x\(\frac { 1 }{ 3 }\) + x°=
(a) 2
(b) 3
(c) \(\frac { 3 }{ 2 }\)
(c) \(\frac { 2 }{ 3 }\)
Solution:
RD Sharma Class 9 Solutions Chapter 2 Exponents of Real Numbers MCQS Q10.1

Question 11.
When simplified ( –\(\frac { 1 }{ 27 }\))\(\frac { -2 }{ 3 }\)
(a) 9
(b) -9
(c) \(\frac { 1 }{ 9 }\)
(d) –\(\frac { 1 }{ 9 }\)
Solution:
RD Sharma Class 9 Solutions Chapter 2 Exponents of Real Numbers MCQS Q11.1

Question 12.
Which one of the following is not equal to
RD Sharma Class 9 Solutions Chapter 2 Exponents of Real Numbers MCQS Q12.1
Solution:
RD Sharma Class 9 Solutions Chapter 2 Exponents of Real Numbers MCQS Q12.2
RD Sharma Class 9 Solutions Chapter 2 Exponents of Real Numbers MCQS Q12.3

Question 13.
Which one of the following is not equal to
RD Sharma Class 9 Solutions Chapter 2 Exponents of Real Numbers MCQS Q13.1
Solution:
RD Sharma Class 9 Solutions Chapter 2 Exponents of Real Numbers MCQS Q13.2
RD Sharma Class 9 Solutions Chapter 2 Exponents of Real Numbers MCQS Q13.3

Question 14.
If a, b, c are positive real numbers, then
RD Sharma Class 9 Solutions Chapter 2 Exponents of Real Numbers MCQS Q14.1
Solution:
RD Sharma Class 9 Solutions Chapter 2 Exponents of Real Numbers MCQS Q14.2

Question 15.
RD Sharma Class 9 Solutions Chapter 2 Exponents of Real Numbers MCQS Q15.1
Solution:
RD Sharma Class 9 Solutions Chapter 2 Exponents of Real Numbers MCQS Q15.2

Question 16.
RD Sharma Class 9 Solutions Chapter 2 Exponents of Real Numbers MCQS Q16.1
Solution:
RD Sharma Class 9 Solutions Chapter 2 Exponents of Real Numbers MCQS Q16.2
RD Sharma Class 9 Solutions Chapter 2 Exponents of Real Numbers MCQS Q16.3

Question 17.
RD Sharma Class 9 Solutions Chapter 2 Exponents of Real Numbers MCQS Q17.1
Solution:
RD Sharma Class 9 Solutions Chapter 2 Exponents of Real Numbers MCQS Q17.2

Question 18.
RD Sharma Class 9 Solutions Chapter 2 Exponents of Real Numbers MCQS Q18.1
Solution:
RD Sharma Class 9 Solutions Chapter 2 Exponents of Real Numbers MCQS Q18.2

Question 19.
RD Sharma Class 9 Solutions Chapter 2 Exponents of Real Numbers MCQS Q19.1
Solution:
RD Sharma Class 9 Solutions Chapter 2 Exponents of Real Numbers MCQS Q19.2

Question 20.
RD Sharma Class 9 Solutions Chapter 2 Exponents of Real Numbers MCQS Q20.1
Solution:
RD Sharma Class 9 Solutions Chapter 2 Exponents of Real Numbers MCQS Q20.2
RD Sharma Class 9 Solutions Chapter 2 Exponents of Real Numbers MCQS Q20.3

Question 21.
The value of {(23 + 22)2/3+ (150 -29)1/2}2  is
(a) 196
(b) 289
(c) 324
(d) 400
Solution:
{(23 + 22)2/3 + (150 – 29)1/2}2
= [(23×4)\(\frac { 2 }{ 3 }\)  +(150 – 29)\(\frac { 1 }{ 2 }\) ]2
= [(27)\(\frac { 2 }{ 3 }\) + (121)\(\frac { 1 }{ 2 }\) ]2
= [(33)3 +(112)\(\frac { 1 }{ 2 }\)]2 = (9 + 11)2
= (20)2 = 400  (d)

Question 22.
(256)0.16x (256)0.09
(a) 4
(b) 16
(c) 64
(d) 256.25
Solution:
RD Sharma Class 9 Solutions Chapter 2 Exponents of Real Numbers MCQS Q22.1

Question 23.
If 102y = 25, then 10-y equals
RD Sharma Class 9 Solutions Chapter 2 Exponents of Real Numbers MCQS Q23.1
Solution:
RD Sharma Class 9 Solutions Chapter 2 Exponents of Real Numbers MCQS Q23.2

Question 24.
If 9X + 2 = 240 + 9X. then x =
(a) 0.5
(b) 0.2
(c) 0.4
(d) 0.1
Solution:
RD Sharma Class 9 Solutions Chapter 2 Exponents of Real Numbers MCQS Q24.1

Question 25.
If x is a positive real number and x2 = 2, then x3 =
(a) \(\sqrt { 2 } \)
(b) 2\(\sqrt { 2 } \)
(c) 3\(\sqrt { 2 } \)
(d) 4
Solution:
RD Sharma Class 9 Solutions Chapter 2 Exponents of Real Numbers MCQS Q25.1

Question 26.
RD Sharma Class 9 Solutions Chapter 2 Exponents of Real Numbers MCQS Q26.1
Solution:
RD Sharma Class 9 Solutions Chapter 2 Exponents of Real Numbers MCQS Q26.2

Question 27.
RD Sharma Class 9 Solutions Chapter 2 Exponents of Real Numbers MCQS Q27.1
Solution:
RD Sharma Class 9 Solutions Chapter 2 Exponents of Real Numbers MCQS Q27.2

Question 28.
RD Sharma Class 9 Solutions Chapter 2 Exponents of Real Numbers MCQS Q28.1
Solution:
RD Sharma Class 9 Solutions Chapter 2 Exponents of Real Numbers MCQS Q28.2
RD Sharma Class 9 Solutions Chapter 2 Exponents of Real Numbers MCQS Q28.3

Question 29.
RD Sharma Class 9 Solutions Chapter 2 Exponents of Real Numbers MCQS Q29.1
Solution:
RD Sharma Class 9 Solutions Chapter 2 Exponents of Real Numbers MCQS Q29.2

Question 30.
RD Sharma Class 9 Solutions Chapter 2 Exponents of Real Numbers MCQS Q30.1
Solution:
RD Sharma Class 9 Solutions Chapter 2 Exponents of Real Numbers MCQS Q30.2

Question 31.
RD Sharma Class 9 Solutions Chapter 2 Exponents of Real Numbers MCQS Q31.1
Solution:
RD Sharma Class 9 Solutions Chapter 2 Exponents of Real Numbers MCQS Q31.2

Question 32.
RD Sharma Class 9 Solutions Chapter 2 Exponents of Real Numbers MCQS Q32.1
Solution:
RD Sharma Class 9 Solutions Chapter 2 Exponents of Real Numbers MCQS Q32.2

Question 33.
If (16)2x + 3 = (64)x + 3 , then 42x – 2  =
(a) 64
(b) 256
(c) 32
(d) 512
Solution:
RD Sharma Class 9 Solutions Chapter 2 Exponents of Real Numbers MCQS Q33.1

Question 34.
RD Sharma Class 9 Solutions Chapter 2 Exponents of Real Numbers MCQS Q34.1
Solution:
RD Sharma Class 9 Solutions Chapter 2 Exponents of Real Numbers MCQS Q34.2
RD Sharma Class 9 Solutions Chapter 2 Exponents of Real Numbers MCQS Q34.3

Question 35.
RD Sharma Class 9 Solutions Chapter 2 Exponents of Real Numbers MCQS Q35.1
Solution:
RD Sharma Class 9 Solutions Chapter 2 Exponents of Real Numbers MCQS Q35.2
RD Sharma Class 9 Solutions Chapter 2 Exponents of Real Numbers MCQS Q35.3

Question 36.
RD Sharma Class 9 Solutions Chapter 2 Exponents of Real Numbers MCQS Q36.1
Solution:
RD Sharma Class 9 Solutions Chapter 2 Exponents of Real Numbers MCQS Q36.2
RD Sharma Class 9 Solutions Chapter 2 Exponents of Real Numbers MCQS Q36.3

Question 37.
RD Sharma Class 9 Solutions Chapter 2 Exponents of Real Numbers MCQS 37.1
Solution:
RD Sharma Class 9 Solutions Chapter 2 Exponents of Real Numbers MCQS 37.2

Question 38.
RD Sharma Class 9 Solutions Chapter 2 Exponents of Real Numbers MCQS Q38.1
Solution:
RD Sharma Class 9 Solutions Chapter 2 Exponents of Real Numbers MCQS Q38.2

Question 39.
RD Sharma Class 9 Solutions Chapter 2 Exponents of Real Numbers MCQS Q39.1
Solution:
RD Sharma Class 9 Solutions Chapter 2 Exponents of Real Numbers MCQS Q39.2

Question 40.
RD Sharma Class 9 Solutions Chapter 2 Exponents of Real Numbers MCQS Q40.1
Solution:
RD Sharma Class 9 Solutions Chapter 2 Exponents of Real Numbers MCQS Q40.2
RD Sharma Class 9 Solutions Chapter 2 Exponents of Real Numbers MCQS Q40.3

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