Properties of Exponents #1

 $2^{35}$  

 $2^{12}$  

 $4^{12}$  

 $\left(2^6\right)\left(2^6\right)$  

 $\left(2^2\right)\left(2^{10}\right)$  

Bob is correct!

Bob confused the exponent and the base.

Bob multiplied 3 x 6

Bob used repeated addition instead of repeated multiplication

 $x^4$  

 $x^{25}$  

 $x^{15}$  

 $1^{15}$  

Mary is correct!

Mary changed the bases... No No, Mary!

Mary multiplied the exponents, but should have added them.

Bob:  $6^2\cdot6^2\cdot6^2\cdot6^2\cdot6^2=6^{10}$  

George:  $6^{2\cdot2\cdot2\cdot2\cdot2}=6^{32}$  

Mary:  $6^{\left(2+5\right)}=6^7$  

 $1^3$  

 $1^6$  

 $4^3$  

 $4^6$  

 $4^{12}$