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