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

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

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

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

<p>$a^{3/5}$ (A)</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>$a^{3/20}$ (C)</p> Signup and view all the answers

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

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

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

<p>$a^{1/8}$ (B)</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>$a^{3/2} b^{3/4}$ (C)</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>$b^{4/2}$ (D)</p> Signup and view all the answers

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

<p>$a^{1/6}$ (D)</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>$a^{11/15}$ (C)</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>$a^{1/2}$ (B)</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>$\frac{a^{6/5}}{b^{2/5}}$ (A)</p> Signup and view all the answers

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

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

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

<p>$a^{5/4}$ (B)</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>$b^{2}$ (B)</p> Signup and view all the answers

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