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