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  • Rational exponents test

Rational exponents test

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  • Question 1:
    1 pts
    		Which of these is correct:
    $a^{1/2} = \frac{1}{a^2}$
    $a^{1/2} =\frac{1}{\sqrt{a}}$
    $a^{1/2} =\sqrt{a}$
  • Question 2:
    1 pts
    		Which of these is correct:
    $a^{-\frac12} = -\frac{1}{a^2}$
    $a^{-\frac12} = -\frac{1}{a^2}$
    $a^{-\frac12} =\frac{1}{\sqrt{a}}$
    $a^{-\frac12} =-\sqrt{a}$
  • Question 3:
    1 pts
    		Is the following statement true or false? $$ a^{\frac{m}{n}}=\sqrt[n]{a^m}$$
  • Question 4:
    2 pts
    		Evaluate $$8^{\frac13}$$

    $1$

    $2$

    $3$

    $4$

  • Question 5:
    2 pts
    		Evaluate $$4^{\frac32}$$

    $2$

    $4$

    $8$

    $16$

  • Question 6:
    2 pts
    		Evaluate $$32^{\frac45}$$

    $2$

    $4$

    $8$

    $16$

  • Question 7:
    2 pts
    		Evaluate $$(-8)^{\frac23}$$

    $1$

    $2$

    $3$

    $4$

  • Question 8:
    2 pts
    		Is the following statement true or false? $$ 0^{-\frac12} = 0$$
  • Question 9:
    2 pts
    		Is the following statement true or false? $$ (-1)^{-\frac{1}{2}} = 1$$
  • Question 10:
    2 pts
    		Is the following statement true or false? $$(-4)^{\frac32} = -8$$
  • Question 11:
    2 pts
    		Is the following statement true or false? $$ -4^{\frac32} = -8$$
  • Question 12:
    2 pts
    		Simplify $$a^{\frac12}\cdot a^{\frac32}$$
    $a^{\frac34}$
    $a^{\frac43}$
    $a$
    $a^2$
  • Question 13:
    3 pts
    		Simplify $$\frac{x^2 \cdot x^{\frac32}}{x^{\frac12}}$$

    $x$

    $x^2$

    $x^3$

    $x^4$

  • Question 14:
    3 pts
    		Simplify $$\frac{a^3 \cdot a^{\frac14}}{a^{\frac54} \cdot a^{-\frac32}}$$
    $a^3\sqrt{a}$
    $a^2\sqrt{a}$
    $a^2$

Exponents

Logarithms