Rules of Exponents

Rules of Exponents

Feel the Powers

Multiple Choice

Solve:

 $3^2$  

• 3

• 1

• 9

• 6

Multiple Choice

Solve:

 $2^4$  

• 2

• 4

• 8

• 16

Multiple Choice

Solve:

 $x\cdot x\cdot x\cdot x\ =\ ?$  

• x^2

• x

• x^4

• x^5

Multiple Choice

Simplify

 $2x\cdot x\cdot y\cdot2y$  

•  $4x4y$  

•  $2x^22y^2$  

•  $4xy$  

Multiple Choice

Simplify

 $\frac{\left(x^4y^5\right)}{\left(x^2y\right)}$  

•  $x^2y^4$  

• xy

•  $x^6y^6$  

Multiple Choice

Simplify:

 $\frac{\left(x^2y^2z^2\right)}{\left(xyz\right)}$  

• 1

• xyz

• 2x2y2z

Multiple Choice

Solve
 $x^{5\ }+\ x^5\ =$  

• impossible

•  $2x^5$  

•  $x^{10}$  

Multiple Choice

 $2x^{2\ }+\ x^{2\ }+x$  

Simplify: 

•  $3x^5$  

•  $3x^{2\ }+\ x$  

• impossible 

Multiple Choice

 $\left(4x\right)^2$  
Simplify 

•  $4x^2$  

•  $16x^2$  

• impossible 

•  $8x^2$  

Multiple Choice

 $\left(x^5\right)^3$  

Simplify:

•  $x^{15}$  

•  $x^8$  

•  $3x^5$  

•  $5x^3$  

Multiple Choice

 $x^{-1}$  

Solve:

• x

•  $\frac{1}{x}$  

•  $-x$  

• Impossible

Multiple Choice

 $2x^{-2}$  

Simplify 

•  $4x$  

•  $\frac{1}{2x^2}$  

•  $2x^4$  

•  $\frac{1}{4x^{-2}}$  

Multiple Choice

 $x^0$  

Simplify

• x

• 1

• 0

• 2

Multiple Choice

 $x^1$  

Simplify

• x

• 0

• 1

• 2

Open Ended

 $2x^2\ \cdot\ 2x^{3\ }$  

Challenge:

Open Ended

 $\frac{\left(2x^42y^3\right)}{2x2y^2}$  

Challenge simplify

Open Ended

 $2x^1\ \cdot\ \left(2x\right)^{-1}$  

Challenge:

Open Ended

 $\left(2x\ +\ 2\right)\left(2x^2\ +\ 2\right)$  

Challenge:

Open Ended

 $\frac{2x^{100}2y^{100}2z^{100}}{x^{99}y^{99}z^{99}}$