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• Exponents and Logarithms
• Tests in Exponents
• 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: $$\frac{32^{-4}}{16^{-5}}$$
 $1$ $-1$ $2$ $-2$