The Following Section consists of Multiple Choice Questions on Surds and Indices.
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Surds and Indices
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Question 1 of 20
1. Question
1 points(17)^{3.5} x (17)^{?} = 17^{8}
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Question 2 of 20
2. Question
1 pointsGiven that 10^{0.48} = x, 10^{0.70} = y and x^{z} = y^{2}, then the value of z is close to:
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Question 3 of 20
3. Question
1 pointsIf 5^{a} = 3125, then the value of 5^{(a – 3)} is:
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Question 4 of 20
4. Question
1 pointsIf 3^{(x – y)} = 27 and 3^{(x + y)} = 243, then x is equal to:
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Question 5 of 20
5. Question
1 points(256)^{0.16} x (256)^{0.09} = ?
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Question 6 of 20
6. Question
1 pointsThe value of [(10)^{150} ÷ (10)^{146}]
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Question 7 of 20
7. Question
1 points(25)^{7.5} x (5)^{2.5} ÷ (125)^{1.5} = 5^{?}
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Question 8 of 20
8. Question
1 points(0.04)^{1.5} = ?
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Question 9 of 20
9. Question
1 pointsIf m and n are whole numbers such that m^{n} = 121, the value of (m – 1)^{n + 1} is:
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Question 10 of 20
10. Question
1 pointsFind the value of (10)^{150}÷(10)^{146}
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Question 11 of 20
11. Question
1 points(1000)^{7}÷(10)^{18}=?
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Question 12 of 20
12. Question
1 pointsEvaluate 256^{0.16}×(256)^{0.09}
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Question 13 of 20
13. Question
1 pointsIf 5^{(a+b)}=5×25×125,what is (a+b)^{2}
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Question 14 of 20
14. Question
1 pointsif 6^{m}=46656, What is the value of 6^{m−2}
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Question 15 of 20
15. Question
1 pointsThe value of (256)^{5/4} is:
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Question 16 of 20
16. Question
1 pointsThe value of [(10)^{150} ÷(10)^{146}] is
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Question 17 of 20
17. Question
1 points(2.4*10^{3}) / (8*10^{2})=?
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Question 18 of 20
18. Question
1 pointsThe value of [(10)_{150} ÷(10)_{146}] is
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Question 19 of 20
19. Question
1 pointsIf 2x = 3√32, then x is equal to :
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Question 20 of 20
20. Question
1 points25*25*25*25*=5^{?}
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Surds and Indices 2
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Question 1 of 20
1. Question
1 points(1000)_{7} = 10_{18} = ?
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Question 2 of 20
2. Question
1 points49 * 49 * 49 * 49 = 7^{?}
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Question 3 of 20
3. Question
1 pointsThe value of (8^{25} 8^{26}) is
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Question 4 of 20
4. Question
1 pointsIf 5^{a} = 3125, then the value of 5^{(a3)} is:
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Question 5 of 20
5. Question
1 pointsIf 2^{n+4} – 2^{n+2} = 3, then n is equal to :
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Question 6 of 20
6. Question
1 pointsGiven that 10^{0.48} = x, 10^{0.70} = y and x^{z} = y², then the value of z is close to
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Question 7 of 20
7. Question
1 pointsIf m and n are whole numbers such that m^{n} = 121, then the value of (m1)^{n+1} is:
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Question 8 of 20
8. Question
1 points(132)^{7} × (132)^{?} = (132)^{11.5}.
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Question 9 of 20
9. Question
1 pointsIf 7^{(x – y)} = 343 and 7^{(x + y)} = 16807, what is the value of x?
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Question 10 of 20
10. Question
1 points(0.04)^{2.5} = ?
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Question 11 of 20
11. Question
1 points(6)^{6.5} × (36)^{4.5} ÷ (216)^{4.5} = (6)^{?}
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Question 12 of 20
12. Question
1 pointsif 6^{m} = 46656, What is the value of 6^{m2}
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Question 13 of 20
13. Question
1 points10^{222} ÷ 10^{220} = ?
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Question 14 of 20
14. Question
1 pointsIf m and n are whole numbers and m^{n} = 196, what is the value of (m – 3)^{(n+1)} ?
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Question 15 of 20
15. Question
1 pointsIf 100^{0.20} = x, 10^{0.60} = y and x^{z} = y^{2}, what is the value of z?
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Question 16 of 20
16. Question
1 points6561^{0.14} × 6561^{0.11} = ?
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Question 17 of 20
17. Question
1 pointsWhat is the value of (2 × 4 × 5)5^{n}
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Question 18 of 20
18. Question
1 points5^{x} × 2^{3} = 36. 5^{(x+1) }= ?
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Question 19 of 20
19. Question
1 points36^{120}=(36*x)^{40}. What is the value of x?
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Question 20 of 20
20. Question
1 points81*81*81*81=9^{?}
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Surds and Indices 3
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Question 1 of 20
1. Question
1 points(6561)^{(1/2)} + (6561)^{(1/4)} + (6561)^{(1/8)} = ?
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Question 2 of 20
2. Question
1 points(7^{1} – 11^{1}) + (7^{1} + 11^{1}) = ?
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Question 3 of 20
3. Question
1 points(5)^{1.25} × (12)^{0.25} × (60)^{0.75} = ?
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Question 4 of 20
4. Question
1 points36 × 36 × 36 × 36 = 6^{?}
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Question 5 of 20
5. Question
1 pointsWhat is the value of (7^{14} – 7^{15}) ?
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Question 6 of 20
6. Question
1 pointsUsing the Third Law of Indices, we would simplify (a^{4})^{6} by _____ the powers.
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Question 7 of 20
7. Question
1 points(−12)^{2} is equal to …
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Question 8 of 20
8. Question
1 points(18a^{8}b^{6}) ÷ (3a^{2}b^{2}) simplifies to …
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Question 9 of 20
9. Question
1 points(2m)^{0} + 5(m)^{0} simplifies to …
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Question 10 of 20
10. Question
1 pointsAs a basic numeral 5^{−3} would be written as …
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Question 11 of 20
11. Question
1 pointsWhen written in standard form 750 000 is …
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Question 12 of 20
12. Question
1 pointsWhen written as a basic numeral 3·45 × 10^{−4} is …
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Question 13 of 20
13. Question
1 pointsThe least value of 3^{x} + 3^{–x} is
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Question 14 of 20
14. Question
1 pointsIf a = –5 and b = –6, find the value of (a – b)^{b–a} + (b – a)^{a–b}.
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Question 15 of 20
15. Question
1 pointsFind the value of x, if 5^{x – 3} . 3^{2x – 8} = 225.
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Question 16 of 20
16. Question
1 pointsIf 9^{2x – 1} = 27^{x + 2}, then x is equal to
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Question 17 of 20
17. Question
1 points(2.4 x 10^{3}) ÷ (8 x 10^{2}) = ?
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Question 18 of 20
18. Question
1 points(18)^{3.5} ÷ (27)^{3.5} x 6^{3.5} = 2^{?} :
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Question 19 of 20
19. Question
1 pointsIf 2^{n – 1} + 2^{n + 1} = 320, then n is equal to:
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Question 20 of 20
20. Question
1 points16*16*16*16=4^{?}
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Quizsummary
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Surds and Indices 4
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Question 1 of 20
1. Question
1 pointsIf 5^{(x + 3)} = (25)^{(3x – 4)}, then the value of x is:
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Question 2 of 20
2. Question
1 pointsGiven that 10^{0.48} = x, 10^{0.70} =y and x^{z} = y^{2}, then the value of z is close to:
Correct
Incorrect

Question 3 of 20
3. Question
1 points(1000)^{7} ÷ 10^{18} = ?
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Question 4 of 20
4. Question
1 pointsThe value of (8^{25} – 8^{26}] is:
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Question 5 of 20
5. Question
1 pointsIf 3^{X} + 3^{X1} = 18, Then the value of xx is :
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Question 6 of 20
6. Question
1 pointsIf 2^{n + 4} – 2^{n + 2} = 3, then n is equal to:
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Question 7 of 20
7. Question
1 points(25)^{7.5} + (5)^{2.5} ÷ (125)^{1.5} = 5^{?}
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Incorrect

Question 8 of 20
8. Question
1 pointsIf m and n are whole numbers such that m^{n} = 121, then the value of (m – 1)^{n + 1} is:
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Incorrect

Question 9 of 20
9. Question
1 pointsThe value of [(10)^{150} ÷ (10)^{146}] is:
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Question 10 of 20
10. Question
1 pointsSimplify : (i) (27)^{2/3} (ii) (1024)^{4/5} (iii)( 8 / 125 )^{4/3}
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Question 11 of 20
11. Question
1 pointsEvaluate: (i) (.00032)^{3/5} (ii)l (256)^{0.16} x (16)^{0.18}.
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Question 12 of 20
12. Question
1 pointsWhat is the quotient when (x^{1} – 1) is divided by (x – 1) ?
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Question 13 of 20
13. Question
1 pointsIf 2^{x 1} + 2^{x + 1} = 1280, then find the value of x.
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Question 14 of 20
14. Question
1 pointsFind the value of [ 5 ( 8^{1/3} + 27^{1/3})^{3}]^{1/ 4}
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Question 15 of 20
15. Question
1 pointsFind the Value of {(16)^{3/2} + (16)^{3/2}}
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Question 16 of 20
16. Question
1 pointsIf (1/5)^{3y} = 0.008, then find the value of(0.25)^{y}.
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Question 17 of 20
17. Question
1 pointsFind the value Of (2^{1/4}1)(2^{3/4}+2^{1/2}+2^{1/4}+1)
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Question 18 of 20
18. Question
1 pointsIf x= y^{a}, y=z^{b} and z=x^{c},then find the value of abc.
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Question 19 of 20
19. Question
1 pointsSimplify [(x^{a} / x^{b})^(a^{2}+b^{2}+ab)] * [(x^{b} / x^{c} )^ b^{2}+c^{2}+bc)] * [(x^{c}/x^{a})^(c^{2}+a^{2}+ca)]
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Question 20 of 20
20. Question
1 points9*9*9*9=3^{?}
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This platform has a wide and impressive range of questions and answers on surds and indices. These are meant for job seekers, who aspire to crack the major professional exams like Bank PO, SSC, CAT, IBPS and others. These practice questions with answers on surds are carefully chosen to reflect the latest questioning trends in the aforesaid tests. All the questions are in MCQ format and there are multiple options for every answer to choose from.