GradeMap

Grade 6 · Math · Unit 4 of 13

Powers and Common Factors

Exponents and prime factorization

What your child practises

Reading and writing powers such as 3⁴, evaluating them, order of operations with powers, writing prime factorizations with exponents, and finding common factors and the greatest common factor.

Alberta Curriculum learning outcome: 6N3.1, 6N3.2, 6A1.1 · exponents, prime factorization with powers, common factors and evaluating expressions with powers

Sample questions

A taste of this unit. In the app, questions change every time and get easier or harder to match your child.

  1. Question 1

    Evaluate. Do the power first.

    4 × 4² = ?

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    64

    Hint: Order of operations: brackets, powers, then multiply or divide, then add or subtract.

  2. Question 2

    What is the value of 6³?

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    216

    Hint: 6³ means 6 × 6 × 6.

  3. Question 3

    What does 8⁴ mean?

    • 8 + 4
    • 4 × 4 × 4 × 4 × 4 × 4 × 4 × 4
    • 8 × 4
    • 8 × 8 × 8 × 8
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    8 × 8 × 8 × 8

    Hint: The exponent tells how many copies of the base to multiply.

  4. Question 4

    What is the value of 6⁴?

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    1296

    Hint: 6⁴ means 6 × 6 × 6 × 6.

  5. Question 5

    Evaluate. Do the power first.

    9 + 2² = ?

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    13

    Hint: Order of operations: brackets, powers, then multiply or divide, then add or subtract.

  6. Question 6

    Write 3 × 3 × 3 × 3 as a power.

    • 4³
    • 3⁴
    • 3 × 4
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    3⁴

    Hint: The base is the number multiplied. The exponent tells how many times it is used.