Rational Exponents Simplification

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Questions and Answers

Which of the following is equivalent to $x^{3/2} \times x^{1/4}$?

  • $x^{6/7}$
  • $x^{4/3}$
  • $x^{5/8}$
  • $x^{7/4}$ (correct)

What is the simplified form of $27^{3/2} \div 3^{1/2}$?

  • $3\sqrt{3}$
  • $9$
  • $9\sqrt{3}$ (correct)
  • $3$

What is the value of $16^{3/4} \times 16^{-1/4}$?

  • $16$
  • $64$
  • $4$
  • $1$ (correct)

Which of the following expressions is equivalent to $8^{3/4} imes 8^{-1/3}$?

<p>$8^{7/12}$ (C)</p> Signup and view all the answers

What is the simplified form of $125^{2/3} imes 5^{-2/3}$?

<p>$25$ (A)</p> Signup and view all the answers

Which of the following is equivalent to $a^{3/2} imes a^{-1/3}$?

<p>$a^{5/6}$ (B)</p> Signup and view all the answers

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