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Exponents Test - 3

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Exponents Test - 3
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Weekly Quiz Competition
  • Question 1
    1 / -0

    3125= 5-

    Solution

    The factors of 3125 = 5 × 5 × 5 × 5 × 5

    So it can be expressed in the exponential form as 55.

     

  • Question 2
    1 / -0

    54= ____

    Solution

    The above value can be written as,

    = 5 × 5 × 5 × 5

    = 625

     

  • Question 3
    1 / -0

    b × b × b × b= b__

    Solution

    The given question can be expressed in the exponential form as b4.

     

  • Question 4
    1 / -0

    2 × 2 × a × a= 22 ×a---

    Solution

    The given question can be expressed in the exponential form as 22 × a2.

     

  • Question 5
    1 / -0

    6 × 6 × 6 × 6= (6)_

    Solution

    The given question can be expressed in the exponential form as 64.

     

  • Question 6
    1 / -0

    26 __ 82

    Solution

    The expansion of 26 = 2 × 2 × 2 × 2 × 2 × 2 = 64

    The expansion of 82 = 8 × 8= 64

    Clearly,

    256 = 64

    So, 26= 82

     

  • Question 7
    1 / -0

    615 ÷ 610= 6---

    Solution

    615 ÷ 610= 6---

    By the rule of dividing the powers with same base = a÷ an = am – n

    Then,

    = (6)15 – 10

    = 65

     

  • Question 8
    1 / -0

    540= ___

    Solution

    Factors of 540 = 2 × 2 × 3 × 3 × 3 × 5

    = 2× 33 × 5

     

  • Question 9
    1 / -0

    53 __ 35

    Solution

    The expansion of 53 = 5 × 5 × 5 = 125

    The expansion of 35 = 3 × 3 × 3 × 3 × 3= 243

    Clearly,

    125 < 243

    So, 53 < 35

     

  • Question 10
    1 / -0

    2.7 × 1012 __  1.5 × 108

    Solution

    By observing the question

    Comparing the exponents of base 10,

    Clearly,

    2.7 × 1012 > 1.5 × 108

     

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