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Properties of Integer Exponents: Grade 8 Math Quiz – PDF Download

    This grade 8 integer exponents quiz asks 10 multiple-choice questions on properties of integer exponents, and each answer comes with a short explanation.

    This 10-question quiz checks the properties of integer exponents for Grade 8: the product, quotient and power rules, and zero and negative exponents. Choose the one correct answer for each question, then read the explanation.

    Grade 8Common Core: 8.EE.A.1
    🎯 Properties of Integer Exponents – Grade 8 math quiz
    Score: 0 / 10
    Answered: 0 / 10
    Question 1
    Simplify \(4^{3}\cdot4^{5}\).
    4×4×4×4×4×4×4×443​45​
    Count the factors.
    A \(4^{15}\)
    B \(16^{8}\)
    C \(4^{2}\)
    D \(4^{8}\)
    Question 2
    Simplify \(\frac{7^{9}}{7^{3}}\).
    A \(7^{3}\)
    B \(7^{12}\)
    C \(7^{6}\)
    D \(1^{6}\)
    Question 3
    Simplify \((3^{2})^{4}\).
    A \(3^{6}\)
    B \(3^{2}\)
    C \(3^{16}\)
    D \(3^{8}\)
    Question 4
    What is the value of \(8^{0}\)?
    A \(1\)
    B \(0\)
    C \(8\)
    D undefined
    Question 5
    What is \(2^{-5}\) as a fraction?
    22​4÷ 221​2÷ 220​1÷ 22−1​1/2÷ 22−2​1/4÷ 22−3​1/8
    The pattern keeps halving.
    A \(-32\)
    B \(-10\)
    C \(\frac{1}{32}\)
    D \(\frac{1}{10}\)
    Question 6
    What is \(3^{2}\cdot3^{-5}\) written as a fraction?
    32​×3−5​add exponents3−3​negative exponent1/27
    Add the exponents, then take the reciprocal.
    A \(\frac{1}{27}\)
    B \(27\)
    C \(\frac{1}{243}\)
    D \(-27\)
    Question 7
    Which decimal equals \(10^{-3}\)?
    A \(0.001\)
    B \(0.0001\)
    C \(-1000\)
    D \(0.01\)
    Question 8
    Evaluate \(\left(\frac{2}{5}\right)^{-2}\).
    A \(\frac{4}{25}\)
    B \(\frac{25}{4}\)
    C \(-\frac{4}{25}\)
    D \(\frac{25}{2}\)
    Question 9
    Which expression equals \(\frac{1}{64}\)?
    A \(4^{3}\)
    B \(2^{-8}\)
    C \(8^{-3}\)
    D \(4^{-3}\)
    Question 10
    What exponent makes \(5^{?}\cdot5^{-3}=5^{6}\) true?
    A \(3\)
    B \(9\)
    C \(-9\)
    D \(2\)

    🎉 Quiz complete!

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    How does this quiz work?

    Read each question, choose one answer among A, B, C and D, then check it: a short explanation appears after every answer. Your score out of 10 is shown at the end, and you can restart the quiz as often as you like.

    What should you review before the quiz?

    Reread the key facts of the lesson and the worked example. If a question is hard, go back to the matching part of the lesson, then try the quiz again. Write your work on scrap paper: most mistakes come from skipping a step, not from the idea itself.

    Remember:

    • Standard 8.EE.A.1: use the properties of integer exponents to write equivalent numerical expressions.
    • Product rule: \(a^{m}\cdot a^{n}=a^{m+n}\). Quotient rule: \(\frac{a^{m}}{a^{n}}=a^{m-n}\).
    • Power rule: \((a^{m})^{n}=a^{mn}\).
    • Zero exponent: \(a^{0}=1\) for any nonzero base.
    • Negative exponent: \(a^{-n}=\frac{1}{a^{n}}\), a reciprocal and not a negative number.

    How to use this grade 8 integer exponents quiz

    Retake this grade 8 integer exponents quiz until every answer is right, then move on to the worksheet and the test.

    Next step after this grade 8 integer exponents quiz: Properties of Integer Exponents lesson

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    Grade 8 Properties of Integer Exponents quiz

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