Gr 10 Math Ch 2: Rational Exponents
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Questions and Answers

What is the result of multiplying $a^{1/2}$ by $a^{1/3}$?

  • $a^{5/2}$
  • $a^{5/6}$ (correct)
  • $a^{1/5}$
  • $a^{2/5}$
  • Which of the following represents the division of $a^{2/3}$ by $a^{1/2}$?

  • $a^{5/6}$
  • $a^{1/3}$ (correct)
  • $a^{2/5}$
  • $a^{1/6}$
  • What is the outcome of $(ab)^{2/3}$?

  • $a^{2/3} b^{2/3}$ (correct)
  • $a^{1/3} b^{2/3}$
  • $a^{2/3} b^{1/3}$
  • $a^{3/2} b^{3/2}$
  • Which expression correctly simplifies the exponentiation of a quotient $\left( \frac{a}{b} \right)^{3/4}$?

    <p>$\frac{a^{3/4}}{b^{3/4}}$</p> Signup and view all the answers

    What is the simplified form of $\left(a^{1/4}\right)^{3/2}$?

    <p>$a^{3/8}$</p> Signup and view all the answers

    How would you convert the expression $\sqrt[5]{a^3}$ to rational exponents?

    <p>$a^{3/5}$</p> Signup and view all the answers

    What is the outcome of applying the power of a power law to the expression $ig(a^{3/4}ig)^{2/5}$?

    <p>$a^{3/20}$</p> Signup and view all the answers

    Which expression correctly represents the multiplication of $a^{1/3}$ and $a^{2/5}$?

    <p>$a^{11/15}$</p> Signup and view all the answers

    What is the result when dividing $a^{3/4}$ by $a^{1/2}$?

    <p>$a^{1/8}$</p> Signup and view all the answers

    Which of the following is the correct simplification of $ig(ab^{1/2}ig)^{3/2}$ based on the raising a product to a power law?

    <p>$a^{3/2} b^{3/4}$</p> Signup and view all the answers

    What is the correct fractional exponent for the expression $b^{4}$ when expressed as a square root?

    <p>$b^{4/2}$</p> Signup and view all the answers

    What is the result of simplifying the expression $ rac{a^{5/6}}{a^{2/3}}$?

    <p>$a^{1/6}$</p> Signup and view all the answers

    What is the result of applying the division of exponents to the expression $\frac{a^{4/5}}{a^{1/3}}$?

    <p>$a^{11/15}$</p> Signup and view all the answers

    Which of the following correctly represents the power of a power for the expression $\left( a^{2/3} \right)^{3/4}$?

    <p>$a^{1/2}$</p> Signup and view all the answers

    What expression results from applying the raising a quotient to a power law to $\left( \frac{a^3}{b^2} \right)^{2/5}$?

    <p>$\frac{a^{6/5}}{b^{2/5}}$</p> Signup and view all the answers

    When simplifying the expression $a^{1/2} \times a^{1/4}$, what is the simplified exponent?

    <p>$a^{3/4}$</p> Signup and view all the answers

    What is the simplified form of $\left(a^{5/6} \right)^{3/2}$?

    <p>$a^{5/4}$</p> Signup and view all the answers

    When converting the expression $\sqrt[4]{b^8}$ to a rational exponent, what is the correct form?

    <p>$b^{2}$</p> Signup and view all the answers

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