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Exponents and Powers Test - 3

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

    The value of (−8)×(−8)×(−8)×(−8)+(−8)×(−8)×(−8)×(−8) is ____.

    Solution

    (−8)5+(−8)5=−2×(8)5=−2×(2)15 =−(2)16=−(4)8

     

  • Question 2
    1 / -0

    Express 256 × 243 in exponential form.

    Solution

    256 = (2 × 2 × 2 × 2 × 2 × 2 × 2 × 2) = 28

    243 = (3 × 3 × 3 × 3 × 3) = 35

    There fore, 256 × 243 = 35 × 28

     

  • Question 3
    1 / -0

    23 + 23 + 23 + 23 is equal to ____.

    Solution

    We have 23 + 23 + 23 + 23 = 4×(23) =23×23 =23

     

  • Question 4
    1 / -0

    Third power of 1/4 × fourth power of 4 equals to ______.

    Solution

    (1/4)3 x 44 = 4

     

  • Question 5
    1 / -0

    Pooja spends about Rs.40000 each month on utensils hold. If she has about 1×108 utensils, what is the total amount of money (in Rs.) spent on the households in one month?

    Solution

    Total amount of money spent Rs. (40000 × 1 × 108) = Rs.(4.0×1012)

     

  • Question 6
    1 / -0

    If a = 2 and b = 3, find the value of (ab)a .

    Solution

    Put a = 2 and b = 3.
    We get, (23)2 = 23 ∗ 23 = 23+3 = 26 = 64

     

  • Question 7
    1 / -0

    The number which is multiplied by (−8)−1 to obtain a product equal to 10−1 is ____.

    Solution

    Let the number be x, Then, (−8)−1 × x = (10)−1
    ⇒(−1/8) × x = (110) ⇒ x = −45

     

  • Question 8
    1 / -0

    A rectangular piece of land is to be sold off in smaller pieces. The total area of the land is 217 sq. miles. The pieces to the cut out are 162 sq. miles in size. How many smaller pieces of the land can be sold at the given size?

    Solution

    Required number of pieces
    =Total area of land/Areaof each piece = 217/162 = 217/(24)2 = 29

     

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