A common error is to write x3*x2=x6 ; another is to write (x3)2=x5 .
1) Give an intuitive explanation that shows how we can understand the correct answer to each of x3*x2 and (x3)2 .
2) Based on this intuition, write the general rules to follow to solve each problem if the exponents 3, 2 were replaced by n,m.
3) Produce a single statement that has exponents which requires simplification using each of these exponent rules.
For your peer responses, you should comment on their intuitive explanation, inspect their exponent rules to see if you agree, and simplify the statement your peer has posed.
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