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Exponents Test - 8

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Exponents Test - 8
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Weekly Quiz Competition
  • Question 1
    1 / -0

    5,00,00,000=

    Solution

    The standard form of the given number is 5 × 107

  • Question 2
    1 / -0

    53 __34

    Solution

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

    The expansion of 34 = 3 × 3 × 3 ×3 = 81

    Clearly,

    125> 81

    So, 53 > 34

    Hence 53 is thegreater number.

  • Question 3
    1 / -0

    3,18,65,00,000=

    Solution

    The standard form of the given number is 3.1865 × 109

  • Question 4
    1 / -0

    (4 ×10)5 +(5 × 10)3 +(3 × 10)2 +(2 × 10)0=

    Solution

    The expanded form is,

    = (4 × 100000) + (0 × 10000) + (5 × 1000) + (3 × 100) + (0 × 10) + (2 ×1)

    = 400000 + 0 + 5000 + 300 + 0 + 2

    = 405302

  • Question 5
    1 / -0

    44/8 = 

    Solution

    The given question can be expressed as

    = 4 × 4 × 4 × 4/8

    = 256/8

    = 32

  • Question 6
    1 / -0

    1,27,56,000

    Solution

    The standard form of the number appearing in the given statement is1.2756 × 107.

  • Question 7
    1 / -0

    70,00,000=

    Solution

    The standard form of the given number is 7 × 106

  • Question 8
    1 / -0

     Findthe value of: 54/25

    Solution

    The above value can be written as,

    = 5 × 5 × 5 × 5/25

    = 625/25

    = 25

  • Question 9
    1 / -0

    Find the value of 93/3

    Solution

    The above value can be written as,

    = 9 × 9 × 9

    = 729/3

    = 243

  • Question 10
    1 / -0

    65/36 =

    Solution

    The given question can be expressed as

    = 6 × 6 × 6 × 6 × 6/36

    = 6×6×6

    = 216

  • Question 11
    1 / -0

    44__162

    Solution

    The expansion of44 =4×4×4 × 4=256

    The expansion of162 =16×16=256

    Clearly,

    256=256

    So,44=162

    Hence both numbers are equal numbers.

  • Question 12
    1 / -0

    384,000,000

    Solution

    The standard form of the number appearing in the given statement is 3.84× 108.

  • Question 13
    1 / -0

    Find the value of26/8

    Solution

    The above value can be written as,

    = 2 × 2 × 2 × 2 × 2 × 2/8

    = 64/8

    = 8.

  • Question 14
    1 / -0

    Find the value of: 112/50

    Solution

    The above value can be written as,

    = 11 × 11/ 50

    = 121/1

    = 121

  • Question 15
    1 / -0

    300,000,000=

    Solution

    The standard form of the number appearing in the given statement is 3 ×108.

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