question archive A common error is to write x^3 *x^2=x^6; another is to write (x^3)^2=x^5
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A common error is to write x^3 *x^2=x^6; another is to write (x^3)^2=x^5 .
1) Give an intuitive explanation that shows how we can understand the correct answer to each of x^3*x^2 and (x^3)^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.
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