#### Understanding

This lesson focuses on how the definition can be used in a variety of situations to make sense of the computations: a^{b}, (a*c)^{b}, a^{bc} and in particular, allows students to investigate whether exponents “distribute” over operations other than multiplication.

### What to look for

Common misconceptions include not understanding which element in the expression is the base of the exponent, multiplying the exponent and the base, and reversing the role of the base and the exponent.### Sample Assessment

What is the value of (3.4)( 10^{2})?

a. 3.4 b. 34 c. 340 d. 3400

Answer: c. 340