Exponents - Grade 5 Maths Questions With Answers

Grade 5 maths multiple choice questions on exponents and powers are presented along with detailed step-by-step solutions and explanations to help build your foundational algebra and number sense skills.

Questions and Step-by-Step Solutions

Select the correct answer for each question below.

  1. Question 1:
    $$ 2^4 = $$

    1. 2 + 2 + 2 + 2
    2. \(2 \times 4\)
    3. \(4 \times 2\)
    4. \(2 \times 2 \times 2 \times 2\)
    View Step-by-Step Solution

    Explanation:

    An exponent tells you how many times to use the base number in multiplication. Here, the base is 2 and the exponent is 4, meaning 2 is multiplied by itself 4 times: \(2 \times 2 \times 2 \times 2\).

    Answer: Option D

  2. Question 2:
    $$ 5^3 = $$

    1. 15
    2. 125
    3. 25
    4. 225
    View Step-by-Step Solution

    Explanation:

    \(5^3 = 5 \times 5 \times 5 = 25 \times 5 = 125\).

    Answer: Option B

  3. Question 3:
    $$ 100^0 = $$

    1. 100
    2. 0
    3. no answer
    4. 1
    View Step-by-Step Solution

    Explanation:

    Any non-zero number raised to the power of 0 is always equal to 1.

    Answer: Option D

  4. Question 4:
    $$ 1^8 = $$

    1. 1
    2. 8
    3. 9
    4. no answer
    View Step-by-Step Solution

    Explanation:

    1 multiplied by itself any number of times remains 1 (\(1 \times 1 \times \dots \times 1 = 1\)).

    Answer: Option A

  5. Question 5:
    $$ 10^6 = $$

    1. 60
    2. 1,000,000
    3. 1000
    4. 6,000,000
    View Step-by-Step Solution

    Explanation:

    Powers of 10 correspond to the number of zeros after 1. \(10^6\) has 6 zeros, which is 1,000,000.

    Answer: Option B

  6. Question 6:
    $$ 6 \times 6 \times 6 \times 6 = $$

    1. \(6 \times 4\)
    2. \(4 \times 6\)
    3. \(6^4\)
    4. \(6 + 4\)
    View Step-by-Step Solution

    Explanation:

    Multiplying the base 6 by itself 4 times is expressed in exponential notation as \(6^4\).

    Answer: Option C

  7. Question 7:
    4 squared is the same as

    1. \(4 \times 2\)
    2. \(2^4\)
    3. \(4 + 4\)
    4. \(4^2\)
    View Step-by-Step Solution

    Explanation:

    "Squared" means raised to the power of 2. Therefore, 4 squared is \(4^2\).

    Answer: Option D

  8. Question 8:
    6 cubed is the same as

    1. \(6 \times 3\)
    2. \(6^3\)
    3. \(6 + 6 + 6\)
    4. \(3^6\)
    View Step-by-Step Solution

    Explanation:

    "Cubed" means raised to the power of 3. Therefore, 6 cubed is \(6^3\).

    Answer: Option B

  9. Question 9:
    $$ 2 \times 10^3 = $$

    1. 2,000
    2. 1,000
    3. 60
    4. 800
    View Step-by-Step Solution

    Explanation:

    \(10^3 = 1,000\). Multiplying by 2 gives \(2 \times 1,000 = 2,000\).

    Answer: Option A

  10. Question 10:
    $$ 5 \times 10^3 + 4 \times 10^2 + 5 \times 10^1 + 2 \times 10^0 = $$

    1. \(50 + 40 + 50 + 2\)
    2. 5000
    3. 5452
    4. 5450
    View Step-by-Step Solution

    Explanation:

    • \(5 \times 10^3 = 5 \times 1000 = 5000\)
    • \(4 \times 10^2 = 4 \times 100 = 400\)
    • \(5 \times 10^1 = 5 \times 10 = 50\)
    • \(2 \times 10^0 = 2 \times 1 = 2\)

    Sum = \(5000 + 400 + 50 + 2 = 5452\).

    Answer: Option C

  11. Question 11:
    Find number \( n \) so that \( 2^n = 16 \).

    1. \(n = 8\)
    2. \(n = 4\)
    3. \(n = 16\)
    4. \(n = 5\)
    View Step-by-Step Solution

    Explanation:

    Calculate successive powers of 2: \(2^1 = 2\), \(2^2 = 4\), \(2^3 = 8\), \(2^4 = 16\). Thus, \(n = 4\).

    Answer: Option B

  12. Question 12:
    True or false: \( 4^5 = 5^4 \)?

    View Step-by-Step Solution

    Explanation:

    • \(4^5 = 4 \times 4 \times 4 \times 4 \times 4 = 1024\)
    • \(5^4 = 5 \times 5 \times 5 \times 5 = 625\)

    Since \(1024 \neq 625\), the statement is false.

    Answer: False

  13. Question 13:
    $$ 3879 = $$

    1. \(3 \times 10^3 + 8 \times 10^2 + 7 \times 10^1 + 9 \times 10^0\)
    2. \(3 \times 10^2 + 8 \times 10^1 + 7 \times 10^0 + 9 \times 10^1\)
    3. \(3 \times 10^3 + 8 \times 10^2 + 7 + 9\)
    4. \(9 \times 10^3 + 7 \times 10^2 + 8 \times 10^1 + 3 \times 10^0\)
    View Step-by-Step Solution

    Explanation:

    Expanding 3879 by place value using powers of 10 gives:

    \(3 \times 1000 + 8 \times 100 + 7 \times 10 + 9 \times 1 = 3 \times 10^3 + 8 \times 10^2 + 7 \times 10^1 + 9 \times 10^0\).

    Answer: Option A

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