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Test Title:

Tests in Exponents

There are 4 tests inside this topic. Click the button below to change currently active quiz.

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Current: Test on Rational Exponents
  • Q1:
    1 pts
    Which of these is correct:
    $a^{1/2} = \frac{1}{a^2}$
    $a^{1/2} =\frac{1}{\sqrt{a}}$
    $a^{1/2} =\sqrt{a}$
  • Q2:
    1 pts
    Which of these is correct:
    $a^{-\frac12} = -\frac{1}{a^2}$
    $a^{-\frac12} = -\frac{1}{a^2}$
    $a^{-\frac12} =\frac{1}{\sqrt{a}}$
    $a^{-\frac12} =-\sqrt{a}$
  • Q3:
    1 pts
    Is the following statement true or false? $$ a^{\frac{m}{n}}=\sqrt[n]{a^m}$$
  • Q4:
    2 pts
    Evaluate $$8^{\frac13}$$

    1

    2

    3

    4

  • Q5:
    2 pts
    Evaluate $$4^{\frac32}$$

    2

    4

    8

    16

  • Q6:
    2 pts
    Evaluate $$32^{\frac45}$$

    2

    4

    8

    16

  • Q7:
    2 pts
    Evaluate $$(-8)^{\frac23}$$

    1

    2

    3

    4

  • Q8:
    2 pts
    Is the following statement true or false? $$ 0^{-\frac12} = 0$$
  • Q9:
    2 pts
    Is the following statement true or false? $$ (-1)^{-\frac{1}{2}} = 1$$
  • Q10:
    2 pts
    Is the following statement true or false? $$(-4)^{\frac32} = -8$$
  • Q11:
    2 pts
    Is the following statement true or false? $$ -4^{\frac32} = -8$$
  • Q12:
    2 pts
    Simplify $$a^{\frac12}\cdot a^{\frac32}$$
    $a^{\frac34}$
    $a^{\frac43}$
    $a$
    $a^2$
  • Q13:
    3 pts
    Simplify $$\frac{x^2 \cdot x^{\frac32}}{x^{\frac12}}$$

    x

    x2

    x3

    x4

  • Q14:
    3 pts
    Simplify $$\frac{a^3 \cdot a^{\frac14}}{a^{\frac54} \cdot a^{-\frac32}}$$
    $a^3\sqrt{a}$
    $a^2\sqrt{a}$
    $a^2$