Lesson 3.2: Fractional Exponents and Laws
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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 (D)</p> Signup and view all the answers

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

<p>$a^3b^3$ (B)</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 (C)</p> Signup and view all the answers

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

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

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

<p>Exponentiation (A)</p> Signup and view all the answers

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

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

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