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  • Exponents and Logarithms
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  • Negative exponents test

Negative exponents test

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  • Question 1:
    1 pts
    		Which of the following expressions is true?
    $2^{-3}=-8$
    $2^{-3}= \frac18$
    $2^{-3}=-\frac18$
  • Question 2:
    1 pts
    		Is the following statement true or false? $$(-1)^{-3} = -1$$
  • Question 3:
    2 pts
    		Is the following statement true or false? $$-(-2)^{-2} = \frac14$$
  • Question 4:
    2 pts
    		Is the following statement true or false? $$(-2)^{-222} = 2^{-222}$$
  • Question 5:
    1 pts
    		Which expression has been simplified correctly?
    $(2a)^{-2} =\left (\frac2a\right)^2$
    $(2a)^{-2} = \left(\frac1{2a}\right)^2$
    $(2a)^{-2} = \left(\frac4a\right)^2$
    $(2a)^{-2} = \left(-\frac4a\right)^2$
  • Question 6:
    2 pts
    		Simplify expression: $3^{-5} \cdot 3^2$
    $27$
    $-27$
    $\frac1{27}$
    $-\frac1{27}$
  • Question 7:
    2 pts
    		Simplify expression: $x^{-4} \cdot x \cdot x^2$
    $\frac1x$
    $-\frac1x$
    $x$
    $-x$
  • Question 8:
    2 pts
    		Simplify expression: $$\frac{2^{-3}}{2^2}$$
    $3$
    $\frac13$
    $\frac1{32}$
  • Question 9:
    2 pts
    		Simplify expression: $$\frac{x^{-5}}{x^{-6}}$$
    $\frac1x$
    $-\frac1x$
    $x$
  • Question 10:
    3 pts
    		Simplify expression: $$\left(\frac{a}{b}\right)^{-4} \cdot \left(\frac{b^{-3}}{a^{-3}}\right)$$
    $\frac{a}{b}$
    $\frac{b}{a}$
    $ab$
  • Question 11:
    3 pts
    		Write expression with only positive exponents. Assume all variables represent nonzero real numbers. $$\left(\frac{2x^{-2}}{y^3}\right)^{-2}$$
    $\frac{(x^4y^6)}4$
    $\frac4{(x^4y^6)}$
    $\frac{4x^4}{y^6}$
  • Question 12:
    3 pts
    		Simplify expression: $$\frac{32^{-4}}{16^{-5}}$$

    $1$

    $-1$

    $2$

    $-2$

Exponents

Logarithms