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

    Properties of Integer Exponents – Grade 8 math quiz

    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
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    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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    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.

    See every chapter on the Grade 8 math page.

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