Quiz 3 - Exponent Rules

Which of the following choices represents the missing exponent (n)?

 $7^2\cdot7^n=7^8$  

• 0

• 2

• 4

• 6

Tags

CCSS.6.EE.A.1

CCSS.6.EE.A.3

• 2

• 8

• 1

• 4

Simplify the expression.

 $\frac{4^0\cdot4^5}{4^{-3}}$  

•  $1$  

•  $4^2$  

•  $4^8$  

•  $\frac{1}{4^8}$  

Simplify the expression.

 $\frac{\left(3^9\right)^{-2}}{3^{-10}\cdot3^0}$  

•  $\frac{1}{3^{18}}$  

•  $\frac{1}{3^8}$  

•  $3^8$  

•  $3^{28}$  

Tags

CCSS.8.EE.A.1

Simplify the expression.

 $\frac{m^{-1}\cdot m^2}{m^5\cdot m^{-4}}$  

•  $\frac{1}{m^6}$  

•  $1$  

•  $m^3$  

•  $m^6$  

Simplify the expression.

 $\left(\frac{c^2\cdot c^4}{c^3}\right)^3$  

•  $\frac{1}{c^9}$  

•  $c^6$  

•  $c^9$  

•  $c^{15}$  

When raising an exponent to a higher power, the shortcut of _____________ can be used to simplify the expression.  Ex:

 $\left(2^2\right)^5$  

• addition

• subtraction

• multiplication

• division

When multiplying with exponents, the shortcut of _____________ can be used to simplify the expression. Ex:

 $2^2\cdot2^5$  

• addition

• subtraction

• multiplication

• division

When dividing with exponents, the shortcut of _____________ can be used to simplify the expression. Ex:

 $\frac{2^5}{2^2}$  

• addition

• subtraction

• multiplication

• division