11.2 Simplifying Radical Expressions PRE

Simplify the following expression: $4^2\times4^3$  

• 4096

• 1024

• 1025

• 4095

Which example below, would be the best way YOU would simplify the following expression? (to your knowledge)

 $4^2\times4^3$  

•  $4^2=16,\ 4^3=64;\ 16\times64=1024$  

•  $4^{\left(2\times3\right)}=4^6=4096$  

•  $4^{\left(2+3\right)}=4^5=1024$  

•  $\left(4\times4\right)^{\left(2+3\right)}=16^5=1,048,576$  

Simplify the following expression:

 $\left(4^2\right)^3$  

• 4096

• 4095

• 1024

• 1025

Which example below would be the best way  YOU would simplify the following expression? (to your knowledge) $\left(4^2\right)^3$  

•  $4^{\left(2+3\right)}=4^5=1024$  

•  $4^2\times4^3=16\times64=1024$  

•  $4^2=16,\ 4^3=64;\ \left(16\right)\left(64\right)=1024$  

•  $4^{\left(2\times3\right)}=4^6=4096$  

 $\left(\frac{4}{5}\right)^3$  

Which example below would be the best way  YOU would simplify the following expression? (to your knowledge) 

•  $\left(\frac{4}{5}\right)^3\ =0.512$  

•  $\frac{4^3}{5^3}=0.512$  

•  $\left(4\times5\right)^{\left(3-3\right)}=20^0=1$  

•  $\frac{4^3}{5}=\frac{64}{5}$  

 $\left(4\times x\right)^2$  

Which example below would be the best way YOU would simplify the following expression? (to your knowledge) 

•  $\left(4x\right)^2=16x^2$  

•  $4^2\times x^2=16x^2$  

•  $4x^2$  

•  $4^1\times x^1=\left(4x\right)^2$  

 $\frac{4^2}{4^3}$  

Which example below would be the best way YOU would simplify the following expression? (to your knowledge) 

•  $4^{\left(2-3\right)}=4^{-1}=\frac{1}{4}$  

•  $4^{\left(3-2\right)}=4^1=4$  

•  $4^{\frac{2}{3}}=2.51$  

•  $4^2=16,\ 4^3=64;\ \frac{16}{64}$