CheerMath

Grade 6 Exponents & Scientific Notation Practice

Understand and Evaluate Powers

Meet exponents! Find the base and the exponent, read powers out loud, write repeated multiplication as a power, evaluate simple powers, and see how powers of 10 work.

Also known as Class 6 maths — the same topics, whether your school calls it grade, class or year.

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Sample questions

A few samples from this topic — try one, then show the answer.

  1. Write Powers and Repeated Multiplication

    What is 656^{5} written as repeated multiplication?
    • 6  ×  6  ×  6  ×  6  ×  66 \; \times \; 6 \; \times \; 6 \; \times \; 6 \; \times \; 6
    • 6  ×  56 \; \times \; 5
    • 5  ×  5  ×  5  ×  5  ×  5  ×  55 \; \times \; 5 \; \times \; 5 \; \times \; 5 \; \times \; 5 \; \times \; 5
    • 6  +  6  +  6  +  6  +  66 \; + \; 6 \; + \; 6 \; + \; 6 \; + \; 6
    Show answer
    Answer:
    6  ×  6  ×  6  ×  6  ×  66 \; \times \; 6 \; \times \; 6 \; \times \; 6 \; \times \; 6

  2. Evaluate Simple Powers

    Calculate 363^{6}.
    Show answer
    Answer:
    729

  3. Understand Powers of 10

    Which represents 60 as a one-digit number multiplied by a power of 10?
    • 6  ×  1026 \; \times \; 10^{2}
    • 6  ×  1016 \; \times \; 10^{1}
    • 60  ×  10060 \; \times \; 10^{0}
    • 6  ×  1006 \; \times \; 10^{0}
    Show answer
    Answer:
    6  ×  1016 \; \times \; 10^{1}

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A worked example

What is 656^{5} written as repeated multiplication?
  1. The expression is 656^{5}. We need 6 multiplied by itself 5 times.
  2. The correct repeated multiplication is 6  ×  6  ×  6  ×  6  ×  66 \; \times \; 6 \; \times \; 6 \; \times \; 6 \; \times \; 6.
  3. The answer is 6  ×  6  ×  6  ×  6  ×  66 \; \times \; 6 \; \times \; 6 \; \times \; 6 \; \times \; 6.

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