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MathematicsGrade 8en

⚡ Powers, Exponents & Square Roots

Master the fundamental laws of exponents and build confidence with powers, roots, and perfect squares! This quiz covers evaluating powers with integer bases, applying exponent rules, and connecting exponents to repeated multiplication. Perfect for Grade 8 learners strengthening their number sense and algebraic foundations. **What you'll learn:** - Apply the product, quotient, and power laws of exponents - Evaluate powers with positive and negative integer bases - Calculate and recognize perfect squares and square roots - Understand cube roots and how exponents relate to multiplication

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Questions in this quiz

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  1. Question 1

    What does 252^5 equal?

  2. Question 2

    Is (−3)2=−9(-3)^2 = -9?

  3. Question 3

    Which of the following is a perfect square?

  4. Question 4

    What is 144\sqrt{144}?

  5. Question 5

    Simplify using the product law of exponents: 34×32=?3^4 × 3^2 = ?

  6. Question 6

    The expression 505^0 equals 1.

  7. Question 7

    What is 273\sqrt[3]{27} (the cube root of 27)?

  8. Question 8

    Using the quotient law of exponents, simplify: 7672=?\frac{7^6}{7^2} = ?

  9. Question 9

    The value of (−2)3(-2)^3 is 8.

  10. Question 10

    Which expression is equivalent to (23)2(2^3)^2?

  11. Question 11

    What is 10310^3?

  12. Question 12

    Which number is NOT a perfect square?

  13. Question 13

    49=7\sqrt{49} = 7.

  14. Question 14

    Evaluate 43÷424^3 ÷ 4^2 using the quotient law.

  15. Question 15

    What is the value of (−5)2(-5)^2?

  16. Question 16

    643=4\sqrt[3]{64} = 4.