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PES SS 1 Further Math Term 1 Test 3
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  • 1. 1.Which of the following expressions is equivalent to x³×x⁴?
A) X⁷
B) X-¹
C) X¹²
D) X³+⁴
  • 2. 2 Simplify x⁶/x²
A) x-⁴
B) x⁸
C) x³
D) x⁴
  • 3. 3 Which expression represents (x⁴)³?
A) x¹
B) x¹²
C) x⁴³
D) x⁷
  • 4. 4 Simplify x−³×x⁵
A) x⁸
B) x²
C) x-²
D) x-¹⁵
  • 5. 5 Which expression is equivalent to (2³)⁴?
A) 2³⁴
B) 2⁷
C) 2¹²
D) 2²⁴
  • 6. 6 If log⁡2(8)=3, then 2³ equals:
A) 6
B) 8
C) 16
D) 4
  • 7. 7 Simplify (x²y³)²
A) x²y⁹
B) x⁴y⁶
C) x⁵y⁶
D) x⁴y⁵
  • 8. 8. If xn=1, what must be true about n?
A) n must be negatice
B) n can be any number
C) n must be zero
D) n must be positive
  • 9. 9. If a¹=n, then?
A) Log a base n=1
B) an=1
C) Log n base a =1
D) Log 1 base a =n
  • 10. 10. Surds are?
A) Rational numbers
B) Irrational numbers
C) Portal numbers
D) Cardinal numbers
  • 11. 11. √(m/n) equals?
A) √m/√n
B) √m × √n
C) √m ÷ n
D) 1/√n × √m
  • 12. 12. Simplify √75
A) 9√2
B) 6√7
C) 3√5
D) 5√3
  • 13. 13. Simplify √80
A) 5√4
B) 3√2
C) 4√5
D) 5√3
  • 14. 14. Similar surds are?
A) Surds that cannot be decided by each other
B) Surds that have the same number.
C) Surds that don't have square root
D) Surds that have the same roots
  • 15. 15. Which of the following surds cannot be rationalized?
A) 2/√2
B) √3/√2
C) 2/√3
D) √3/2
  • 16. 16. The conjugate of a+√b is?
A) a²-b
B) a-√b
C) √a+√b
D) √b+a
  • 17. 17. A binary operations combines?
A) One element
B) Not specified
C) No element
D) Two elements
  • 18. 18. A binary operations is commutative, if?
A) a×b=a×b
B) a+b=a-b
C) a*b=b*a
D) Null
  • 19. 19. A binary operation is associative, if?
A) (a*b)*c=a*(b*c)
B) a*b=a*(b*c)
C) a*b*c=a*c
D) c*a=a*b
  • 20. 20. The element which leaves other elements unchanged when used in a binary operation is called?
A) Zero element
B) Identity element
C) Inverse
D) Closure element
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