Simplify Exponential Expressions

Simplify:

 $\frac{2^5}{2^3}$  

•  $2^2$  

•  $2^8$  

•  $4^2$  

•  $1^2$  

Simplify:

 $\left(6x^3y^8\right)\left(-4x^6y^{-9}\right)$  

•  $-24x^9y^{17}$  

•  $-2x^{11}y^{ }$  

•  $-\frac{24x^9}{y}$  

•  $\frac{x^9}{-24y}$  

Which of the following would simplify to  $4x^4$ ?

•  $2x^3\times2x^2$  

•  $\frac{8x^{10}}{4x^6}$  

•  $6x^2-4x^2$  

•  $\left(2x^2\right)^2$  

•  $3x^3+x^{ }$  

Simplify:   $\frac{12m^8n^{12}}{3m^{-2}n^{19}}$  

•  $4m^{10}n^7$  

•  $\frac{4m^{10}}{n^7}$  

•  $\frac{4n^7}{m^{10}}$  

•  $\frac{9m^{10}}{n^7}$  

According to exponent rules, when we raise an exponential expression to a power we _______ the exponents.

• add
• subtract
• multiply
• divide

Tags

CCSS.8.EE.A.1

 $\left(10x^9y^2\right)\left(2x^4y^4\right)^3$  

Simplify the expression and determine the power on the x.

Simplify:   $7m^5\left(2m^4+6m^2-4\right)$  

•  $14m^9+42m^7-28m^5$  

•  $9m^9+13m^7-3m^5$  

•  $14m^{20}+42m^{10}-28m^5$  

•  $14m^9+42m^3-28m^5$  

What is the coefficient for this expression?

 $\left(\frac{9x^8y^4}{18x^{10}y^3}\right)^3$  

What is the coefficient for this expression?

 $\left(\frac{2x^8y^{-6}}{12x^{-10}y^3}\right)^3$  

•  $\frac{x^{18}y^9}{6}$  

•  $\frac{x^{54}}{216y^{27}}$  

•  $\frac{x^{24}y^{27}}{216}$  

•  $\frac{x^{54}y^{27}}{216}$  

 $\left(3x^4y^{-2}\right)^{-2}$  

•  $\frac{1}{9x^8y^4}$  

•  $\frac{x^8}{9y^4}$  

•  $\frac{9y^4}{x^8}$  

•  $\frac{y^4}{9x^8}$