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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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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