Math Calculators, Lessons and Formulas

It is time to solve your math problem

  • Math Tests
  • ::
  • Exponents and Logarithms
  • ::
  • Tests in Exponents
Test Title:

Tests in Exponents

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

Change current test

Current: Test in Negative Exponents
  • Q1:
    1 pts
    Which of the following expressions is true?
    $2^{-3}=-8$
    $2^{-3}= \frac18$
    $2^{-3}=-\frac18$
  • Q2:
    1 pts
    Is the following statement true or false? $$(-1)^{-3} = -1$$
  • Q3:
    2 pts
    Is the following statement true or false? $$-(-2)^{-2} = \frac14$$
  • Q4:
    2 pts
    Is the following statement true or false? $$(-2)^{-222} = 2^{-222}$$
  • Q5:
    1 pts
    Which expression has been simplified correctly?
    $(2a)^{-2} =\left (\frac2a\right)^2$
    $(2a)^{-2} = \left(\frac1{2a}\right)^2$
    $(2a)^{-2} = \left(\frac4a\right)^2$
    $(2a)^{-2} = \left(-\frac4a\right)^2$
  • Q6:
    2 pts
    Simplify expression: $3^{-5} \cdot 3^2$
    $27$
    $-27$
    $\frac1{27}$
    $-\frac1{27}$
  • Q7:
    2 pts
    Simplify expression: $x^{-4} \cdot x \cdot x^2$
    $\frac1x$
    $-\frac1x$
    $x$
    $-x$
  • Q8:
    2 pts
    Simplify expression: $$\frac{2^{-3}}{2^2}$$
    $3$
    $\frac13$
    $\frac1{32}$
  • Q9:
    2 pts
    Simplify expression: $$\frac{x^{-5}}{x^{-6}}$$
    $\frac1x$
    $-\frac1x$
    $x$
  • Q10:
    3 pts
    Simplify expression: $$\left(\frac{a}{b}\right)^{-4} \cdot \left(\frac{b^{-3}}{a^{-3}}\right)$$
    $\frac{a}{b}$
    $\frac{b}{a}$
    $ab$
  • Q11:
    3 pts
    Write expression with only positive exponents. Assume all variables represent nonzero real numbers. $$\left(\frac{2x^{-2}}{y^3}\right)^{-2}$$
    $\frac{(x^4y^6)}4$
    $\frac4{(x^4y^6)}$
    $\frac{4x^4}{y^6}$
  • Q12:
    3 pts
    Simplify expression: $$\frac{32^{-4}}{16^{-5}}$$

    1

    -1

    2

    -2