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