Power to a Power Lesson

 $\left(4^2\right)^3\ \ \ \ \ really\ means\ \ \left(4^2\right)\left(4^2\right)\left(4^2\right)$  
This is really the same as  $\left(4\right)\left(4\right)\left(4\right)\left(4\right)\left(4\right)\left(4\right)\ \ because\ every\ \left(4^2\right)\ \ means\ \left(4\right)\left(4\right)$  So we could rewrite this as  $4^{6\ }\ \ \ because\ the\ 4\ is\ multiplied\ by\ itself\ 6\ times$  

 If we have a power inside the parenthesis and a an exponent outside the parenthesis -  We multiply the Exponents

Rewrite each as a single power with a positive exponent

Example  $\left(6^2\right)^4\ \ =\ \ 6^{2\times4}\ \ =\ \ 6^8$  

Example       $\left(a^7\right)^3\ \ =\ \ a^{7\times3}\ \ =\ \ a^{21}$