Exponent Rules Test Review

 $12\ \cdot\ 12\ \cdot19\ \cdot\ 12\ \cdot12\ \cdot\ 19=12^x\ \cdot\ 19^y$  Given the  equation, determine the value of x and y.

• x = 2, y = 4

• x = 3, y = 2

• x = 4, y = 2

• x = 2, y = 3

Tags

CCSS.8.EE.C.7B

 $\frac{9^{14}}{9^x}=9^6$  What is the value of x?

• 8

• -8

• 0

• 20

Tags

CCSS.8.EE.A.1

 $8^{n\ }=8^5\ \cdot\ 8^2$  What is the value of n?

• 7

• 10

• 3

• -7

Tags

CCSS.8.EE.A.1

 $32^2\ =\left(2^a\right)^2\ =2^b$  What is the value of a and b?  

• a = 2, b = 4

• a = 4, b = 8

• a = 5, b = 10

• a = 3, b = 6

Tags

CCSS.6.EE.A.1

 $\frac{5^3}{5^6}$  Which expression is not equivalent?

•  $\frac{1}{5^2}$  

•  $5^{-3}$  

•  $\frac{1}{125}$  

•  $\frac{1}{5^3}$  

Tags

CCSS.8.EE.A.1

 $3^{-6}\ \cdot\ 3^4$  Evaluate, writing your answer as a simplified fraction with no exponents.

•  $\frac{1}{3^2}$  

•  $3^{-2}$  

•  $9$  

•  $\frac{1}{9}$  

Tags

CCSS.8.EE.A.1

 $\frac{3^8}{3^{11}}$  Evaluate, writing your answer as a simplified fraction with no exponents.

•  $3^{-3}$  

•  $\frac{1}{9}$  

•  $\frac{1}{27}$  

•  $\frac{1}{3^3}$  

Tags

CCSS.8.EE.A.1

 $\left(\frac{1}{3}\right)\left(\frac{1}{3}\right)\left(\frac{1}{3}\right)\left(\frac{1}{3}\right)$  Which of the following expressions is equivalent?

•  $\left(3^{-4}\right)^0$  

•  $\left(3^{-2}\right)^2$  

•  $\left(3^{-4}\right)^4$  

• None of the above

Tags

CCSS.8.EE.A.1

 $\left(2^4\right)^3\ \cdot2^3$  Select all the equivalent expressions. (You may choose more than one if needed.)

•  $2^{7\ \ }\cdot\ ^{ }2^3$  

•  $2^{12}\ \cdot\ 2^3$  

•  $2^{15}$  

•  $2^{21}$  

Tags

CCSS.8.EE.A.1

 $\frac{2^4\cdot3^3}{6^{-2}\cdot9^5}\ =\ 2^a\ \cdot\ 3^b$  What are the values for a and b?

• a = 6, b = -5

• a = -6, b = 5

• a = 6, b = 5

• a = -6, b = -5

Tags

CCSS.8.EE.A.1