Lesson 3.2: Fractional Exponents and Laws
10 Questions
0 Views

Choose a study mode

Play Quiz
Study Flashcards
Spaced Repetition
Chat to lesson

Podcast

Play an AI-generated podcast conversation about this lesson

Questions and Answers

What is the result of $83^{rac{1}{2}}$?

  • 16
  • 4
  • 8
  • 2 (correct)

    • Which rule can be applied to simplify $(8a^2b^4)^3$?

  • $(am)^n = amn$ (correct)
  • $(ab)^3 = a^3b^3$
  • $(a^n)^m = a^{mn}$
  • $a^n imes a^m = a^{n+m}$

    • What is the value of $(8a^2b^4)^3$ when expanded?

  • $8a^3b^3$
  • $16a^3b^3$
  • $16a^6b^{12}$
  • $8a^6b^{12}$ (correct)

    • What operation is involved in finding the result of $83^{rac{1}{3}}$?

    <p>Root extraction</p> Signup and view all the answers

    What does the expression $(ab)^3$ simplify to?

    <p>$a^3b^3$</p> Signup and view all the answers

    How does finding the $n$th root before raising to the power $m$ simplify calculations?

    <p>It makes calculating easier with smaller numbers</p> Signup and view all the answers

    What does $(83)^2$ evaluate to?

    <p>$4$</p> Signup and view all the answers

    In $(8a^2b^4)^3$, what operation is performed on each item inside the brackets?

    <p>Exponentiation</p> Signup and view all the answers

    What is $83^{rac{1}{2}}$ equivalent to?

    <p>$rac{1}{4}$</p> Signup and view all the answers

    Which property of exponents can be used to simplify $(8a^2b^4)^3$?

    <p>Power of a Power</p> Signup and view all the answers

    More Like This

    Use Quizgecko on...
    Browser
    Open
    Browser
    Browser