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