Grade 6 Mathematics · Unit 6: Numerical and Algebraic ExpressionsStandard 6.AT.5

Lesson 6.3Finding the Value of a Power

Apply Day · Set BSecond form · new problems, same idea

Mastery check☐ Exceeds☐ Meets target☐ Needs practice
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Learning target I can write and evaluate numbers in exponent form using a base and a power.

Remember6.3 · Part II

Powers & Exponents

  1. Base is the factor being multiplied repeatedly
  2. Exponent tells how many times to multiply the base by itself
  3. Evaluate: 2³ = 2 × 2 × 2 = 8 (not 2 × 3 = 6)

Words: Exponent (Exponente)Base (Base)Power (Potencia)Evaluate (Evaluar)Repeated multiplication (Multiplicación repetida)

Part 1Understand the ideamodels and meaning
  1. 1Circle the letter of the best answer. Show how you know.

    Compare 2¹² and 4⁶. Which statement is true?

    1. A2¹² > 4⁶
    2. B2¹² = 4⁶
    3. C2¹² < 4⁶
    Show your work
  2. 2Circle the letter of the best answer. Show how you know.

    Which expression shows 5³ as repeated multiplication?

    1. A3 × 3 × 3 × 3 × 3
    2. B5 × 5 × 5
    3. C5 × 3
    4. D5 + 5 + 5
    Show your work
Part 2Apply itreal-world problems
  1. 3Complete each step, then write the final answer.

    Find the value of 6².

    Show your work
    Final answer:
  2. 4Complete each step, then write the final answer.

    Find the value of 10³.

    Show your work
    Final answer:
  3. 5Complete each step, then write the final answer.

    Write 128 as a power of 2. What is the exponent?

    Show your work
    Final answer:
  4. 6Complete each step, then write the final answer.
    9 ft9 ft9²
    A square with side 9 has area 9².

    A square garden is 9 feet long on each side. Its area is 9² square feet. What is the area?

    Show your work
    Final answer:
  5. 7Complete each step, then write the final answer.

    A principal calls 6 teachers. Each teacher calls 6 families. Each family calls 6 more families. How many calls are in the last round? Write it as a power first.

    Show your work
    Final answer:
  6. 8Circle the letter of the best answer. Show how you know.

    What is the value of 4³?

    1. A7
    2. B12
    3. C43
    4. D64
    Show your work
  7. 9Circle the letter of the best answer. Show how you know.

    What is the value of 6²?

    1. A8
    2. B12
    3. C36
    4. D62
    Show your work
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