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

Lesson 6.3Finding the Value of a Power

Start hereWords, worked example, and sentence starters

Name Date Period

Learning target I can write and evaluate numbers in exponent form using a base and a power.

Start hereWords for this lesson

Read each word before you begin. Say it out loud.

WordWhat it meansExample
ExponentSpanish: Exponente A small number that tells how many times to multiply a number by itself. In 2³, the small 3 means multiply 2 by itself 3 times: 2 × 2 × 2 = 8
BaseSpanish: Base The number that gets multiplied by itself. In 5², the base is 5 — it is the number being multiplied: 5 × 5 = 25
PowerSpanish: Potencia A number written with a base and an exponent, like 2³. 3^4
EvaluateSpanish: Evaluar To find the value by putting numbers in for the letters. 2^3 = 8
Repeated multiplicationSpanish: Multiplicación repetida Multiplying the same factor again and again. 9 × 9 × 9 × 9
Expanded formSpanish: Forma desarrollada A power written out as a product of its factors. 3^4 = 3 × 3 × 3 × 3

How it worksWorked exampleevaluating a power

These numbers are not on your problems. The steps are. Follow them with your own numbers.

Find the value of 3 to the 4th power.

  1. Name the parts. Base = 3, exponent = 4
  2. Write the expanded form. 3 × 3 × 3 × 3
  3. Multiply in order. 3 × 3 = 9, then 9 × 3 = 27, then 27 × 3 = 81
  4. State the value. 3 to the 4th power = 81

Answer: The value of 3 to the 4th power is 81, not 3 × 4.

Now you trySame steps, your turn

The steps are the same as the worked example. The numbers are yours. Do the work.

Find the value of 6 to the 3rd power.

  1. Name the parts. Base = , exponent =
  2. Write the expanded form. × ×
  3. Multiply in order. × = , then × 6 =
  4. State the value. 6 to the 3rd power =
Answer:value of 6 to the 3rd power

Say it and write itSentence starters

Finish each sentence out loud with a partner. Then use them in your writing.

  • The base is and the exponent is .
  • Written in expanded form, this power is .
  • The value of the power is .
  • This is not × , because an exponent means .

Word bank evaluatepowerbaseexponentexpanded formfactorvaluesquaredcubedproductmultiplypattern

Watch outA common mistake

A common mistake in Powers and Exponents is multiplying the base by the exponent instead of using the base as a repeated factor — for example, thinking 2³ = 2 × 3 = 6 instead of 2³ = 2 × 2 × 2 = 8. Before you submit, rewrite the power as repeated multiplication first, then multiply step by step.

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

Lesson 6.3Finding the Value of a Power

Apply Day · Version ASupported practice

Mastery check☐ Exceeds☐ Meets target☐ Needs practice
Name Date Period

Learning target I can write and evaluate numbers in exponent form using a base and a power.

  1. 1Complete each step, then write the final answer.

    Find the value of 3².

    Show your work

    Hint Use 3 as a factor 2 times.

    Final answer:
  2. 2Complete each step, then write the final answer.

    Write 2 × 2 × 2 × 2 as a power. What is its value?

    Show your work

    Hint Count the factors of 2. That is the exponent. Then multiply.

    Final answer:
  3. 3Complete each step, then write the final answer.

    Find the value of 10².

    Show your work

    Hint Use 10 as a factor 2 times.

    Final answer:
How did it go? ☐ 4 · I can teach it☐ 3 · I've got it☐ 2 · I need a hint☐ 1 · I need help
Grade 6 Mathematics · Unit 6: Numerical and Algebraic ExpressionsStandard 6.AT.5

Lesson 6.3Finding the Value of a Power

Apply Day · Version BCore practice

Mastery check☐ Exceeds☐ Meets target☐ Needs practice
Name Date Period

Learning target I can write and evaluate numbers in exponent form using a base and a power.

  1. 1Complete each step, then write the final answer.

    Sam says the value of 7² is 14. Is he right? Find the correct value.

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

    Find the value of 0.3².

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

    Find the value of 8².

    Show your work
    Final answer:
How did it go? ☐ 4 · I can teach it☐ 3 · I've got it☐ 2 · I need a hint☐ 1 · I need help
Grade 6 Mathematics · Unit 6: Numerical and Algebraic ExpressionsStandard 6.AT.5

Lesson 6.3Finding the Value of a Power

Apply Day · ChallengeExtension

Mastery check☐ Exceeds☐ Meets target☐ Needs practice
Name Date Period

Learning target I can write and evaluate numbers in exponent form using a base and a power.

  1. 1Circle the letter of the best answer. Show how you know.

    Which value is equal to the power 3⁴?

    1. A7
    2. B12
    3. C64
    4. D81
    Show your work
  2. 2Complete each step, then write the final answer.

    How much greater is 2¹⁰ than 10²?

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

    Find the value of 1.5².

    Show your work
    Final answer:
How did it go? ☐ 4 · I can teach it☐ 3 · I've got it☐ 2 · I need a hint☐ 1 · I need help