๐Ÿ“ PM Review: Exponents

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Question 1 Difficulty 1
What does 3^2 mean?
  • A 3 + 3
  • B 3 x 3
  • C 3 - 3
  • D 3 รท 3
๐Ÿ’ก Explanation 3^2 means 3 multiplied by itself, which is 3 x 3 = 9.
Question 2 Difficulty 1
Calculate 2^3.
  • A 6
  • B 8
  • C 9
  • D 4
๐Ÿ’ก Explanation 2^3 means 2 x 2 x 2 = 8.
Question 3 Difficulty 1
What is 5^1?
  • A 5
  • B 1
  • C 0
  • D 10
๐Ÿ’ก Explanation Any number raised to the power of 1 is the number itself, so 5^1 = 5.
Question 4 Difficulty 1
What does 4^2 equal?
  • A 8
  • B 16
  • C 12
  • D 14
๐Ÿ’ก Explanation 4^2 means 4 x 4 = 16.
Question 5 Difficulty 1
If a pencil costs 2^3 rupees, how much is it?
  • A 6
  • B 7
  • C 8
  • D 9
๐Ÿ’ก Explanation 2^3 means 2 x 2 x 2 = 8.
Question 6 Difficulty 1
What is 1^5?
  • A 0
  • B 1
  • C 5
  • D 10
๐Ÿ’ก Explanation Any number raised to the power of 0 is 1, so 1^5 = 1.
Question 7 Difficulty 1
Calculate 2^0.
  • A 2
  • B 1
  • C 0
  • D 4
๐Ÿ’ก Explanation Any non-zero number raised to the power of 0 is 1.
Question 8 Difficulty 1
What is 10^2?
  • A 100
  • B 10
  • C 20
  • D 200
๐Ÿ’ก Explanation 10^2 means 10 x 10 = 100.
Question 9 Difficulty 1
If a cricket bat costs 3^2 rupees, how much is it?
  • A 9
  • B 6
  • C 12
  • D 3
๐Ÿ’ก Explanation 3^2 means 3 x 3 = 9.
Question 10 Difficulty 1
What does 6^1 equal?
  • A 1
  • B 6
  • C 0
  • D 5
๐Ÿ’ก Explanation Any number raised to the power of 1 is the number itself, so 6^1 = 6.
Question 11 Difficulty 2
Calculate 2^2 + 3^2.
  • A 10
  • B 13
  • C 12
  • D 14
๐Ÿ’ก Explanation 2^2 = 4 and 3^2 = 9, so 4 + 9 = 13.
Question 12 Difficulty 2
What is (2^3) + (2^2)?
  • A 12
  • B 10
  • C 8
  • D 6
๐Ÿ’ก Explanation 2^3 = 8 and 2^2 = 4, so 8 + 4 = 12.
Question 13 Difficulty 2
If 5^2 = 25, what is 5^2 + 5^1?
  • A 30
  • B 29
  • C 31
  • D 25
๐Ÿ’ก Explanation 5^1 = 5, so 25 + 5 = 30.
Question 14 Difficulty 2
Calculate 3^2 - 2^2.
  • A 5
  • B 8
  • C 7
  • D 6
๐Ÿ’ก Explanation 3^2 = 9 and 2^2 = 4, so 9 - 4 = 5.
Question 15 Difficulty 2
What is (4^1) + (4^2)?
  • A 20
  • B 18
  • C 16
  • D 17
๐Ÿ’ก Explanation 4^1 = 4 and 4^2 = 16, so 4 + 16 = 20.
Question 16 Difficulty 2
If 2^3 = 8, calculate 2^3 * 2^2.
  • A 64
  • B 16
  • C 48
  • D 32
๐Ÿ’ก Explanation 2^3 * 2^2 = 2^(3+2) = 2^5 = 32.
Question 17 Difficulty 2
What is the value of 2^2 x 3^1?
  • A 12
  • B 18
  • C 10
  • D 8
๐Ÿ’ก Explanation 2^2 = 4 and 3^1 = 3, so 4 x 3 = 12.
Question 18 Difficulty 2
Calculate (3^2 + 2^2) x 2.
  • A 34
  • B 30
  • C 32
  • D 28
๐Ÿ’ก Explanation 3^2 = 9 and 2^2 = 4, so (9 + 4) x 2 = 26.
Question 19 Difficulty 2
If 6^2 = 36, what is 6^2 รท 6^1?
  • A 6
  • B 36
  • C 30
  • D 12
๐Ÿ’ก Explanation 6^2 รท 6^1 = 6^(2-1) = 6^1 = 6.
Question 20 Difficulty 2
What is (5^2 - 3^2)?
  • A 16
  • B 10
  • C 20
  • D 25
๐Ÿ’ก Explanation 5^2 = 25 and 3^2 = 9, so 25 - 9 = 16.
Question 21 Difficulty 3
Calculate 2^3 + 2^3 x 2.
  • A 24
  • B 20
  • C 16
  • D 32
๐Ÿ’ก Explanation 2^3 = 8, so 8 + 8 x 2 = 8 + 16 = 24.
Question 22 Difficulty 3
What is (2^2 + 3^2) x 2?
  • A 26
  • B 20
  • C 22
  • D 24
๐Ÿ’ก Explanation 2^2 = 4 and 3^2 = 9, so (4 + 9) x 2 = 26.
Question 23 Difficulty 3
If 4^2 = 16, what is 4^2 - 2^3?
  • A 8
  • B 6
  • C 10
  • D 12
๐Ÿ’ก Explanation 4^2 = 16 and 2^3 = 8, so 16 - 8 = 8.
Question 24 Difficulty 3
Calculate 3^3 รท 3^1.
  • A 8
  • B 6
  • C 9
  • D 27
๐Ÿ’ก Explanation 3^3 รท 3^1 = 3^(3-1) = 3^2 = 9.
Question 25 Difficulty 3
What is the value of 2^4 - (2^2 + 2^2)?
  • A 8
  • B 10
  • C 6
  • D 4
๐Ÿ’ก Explanation 2^4 = 16 and (2^2 + 2^2) = 8, so 16 - 8 = 8.
Question 26 Difficulty 3
If 5^2 x 5^1 = 5^3, what is the value of 5^3?
  • A 125
  • B 150
  • C 100
  • D 75
๐Ÿ’ก Explanation 5^3 = 125.
Question 27 Difficulty 3
Calculate (3^2 + 3^2) รท 2.
  • A 9
  • B 6
  • C 12
  • D 3
๐Ÿ’ก Explanation 3^2 = 9, so (9 + 9) รท 2 = 18 รท 2 = 9.
Question 28 Difficulty 3
What is (2^3 + 2^2) x 2^1?
  • A 20
  • B 16
  • C 18
  • D 10
๐Ÿ’ก Explanation 2^3 = 8 and 2^2 = 4, so (8 + 4) x 2 = 24.
Question 29 Difficulty 3
If 4^2 + 2^3 = 24, what is 4^2?
  • A 16
  • B 18
  • C 20
  • D 22
๐Ÿ’ก Explanation 4^2 = 16 and 2^3 = 8, so 16 + 8 = 24.
Question 30 Difficulty 3
Calculate 10^2 - (5^2 x 2).
  • A 70
  • B 60
  • C 80
  • D 90
๐Ÿ’ก Explanation 10^2 = 100 and 5^2 = 25, so 100 - (25 x 2) = 100 - 50 = 50.
Question 31 Difficulty 4
What is the value of 3^3 + 2^(2 x 2)?
  • A 25
  • B 30
  • C 28
  • D 24
๐Ÿ’ก Explanation 3^3 = 27 and 2^(2 x 2) = 16, so 27 + 16 = 43.
Question 32 Difficulty 4
Calculate (5^2 + 5^1) x 2.
  • A 50
  • B 60
  • C 45
  • D 40
๐Ÿ’ก Explanation (5^2 = 25 and 5^1 = 5), so (25 + 5) x 2 = 60.
Question 33 Difficulty 4
If 2^4 = 16, what is 2^5 - 2^2?
  • A 12
  • B 10
  • C 8
  • D 14
๐Ÿ’ก Explanation 2^5 = 32 and 2^2 = 4, so 32 - 4 = 28.
Question 34 Difficulty 4
What is (3^2 + 3^1) x (4^2)?
  • A 60
  • B 80
  • C 75
  • D 70
๐Ÿ’ก Explanation (3^2 = 9 and 3^1 = 3, so (9 + 3) x 16 = 12 x 16 = 192.
Question 35 Difficulty 4
Calculate (6^2 - 5^2) รท 2.
  • A 5
  • B 6
  • C 7
  • D 8
๐Ÿ’ก Explanation 6^2 = 36 and 5^2 = 25, so (36 - 25) รท 2 = 11 รท 2 = 5.5.
Question 36 Difficulty 4
What is the value of (2^3 + 2^2 x 2^1)?
  • A 16
  • B 20
  • C 18
  • D 22
๐Ÿ’ก Explanation 2^3 = 8, 2^2 = 4, and 2^1 = 2. So, 8 + 4 x 2 = 8 + 8 = 16.
Question 37 Difficulty 4
If a cricket team scored 2^4 runs, how many runs did they score?
  • A 16
  • B 18
  • C 20
  • D 14
๐Ÿ’ก Explanation 2^4 means 2 x 2 x 2 x 2 = 16.
Question 38 Difficulty 4
Calculate 10^2 - (3^2 + 4^2).
  • A 60
  • B 62
  • C 58
  • D 52
๐Ÿ’ก Explanation 10^2 = 100 and 3^2 = 9, 4^2 = 16, so 100 - (9 + 16) = 100 - 25 = 75.
Question 39 Difficulty 4
What is the result of (5^2 x 4^2) รท 20?
  • A 15
  • B 20
  • C 25
  • D 30
๐Ÿ’ก Explanation (5^2 = 25 and 4^2 = 16, so (25 x 16) รท 20 = 400 รท 20 = 20.
Question 40 Difficulty 4
Calculate the value of (2^5 - 2^3) รท 2.
  • A 10
  • B 12
  • C 8
  • D 14
๐Ÿ’ก Explanation 2^5 = 32 and 2^3 = 8, so (32 - 8) รท 2 = 24 รท 2 = 12.
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