Math 10C Module 2 Lesson 6

Module 2: Roots and Powers

 

Lesson 6 Summary

 

In Lesson 6 you investigated the following questions:

  • How are powers and radicals related to each other?
  • How do you determine and understand error in mathematics?

You began this lesson by completing Math Lab: Powers and Radicals that related powers with rational exponents to radicals. You discovered the rational exponent law that states the following:

 

The result of this discovery is that you can evaluate powers by converting them into radicals first.

In this lesson you also identified and corrected errors in calculations involving powers. You learned about common errors that arise from misinterpretations of the exponent laws. You also learned that an easy way to check the answer to a multistep solution is to use a calculator to compare the entered value of the original expression with the value of the final answer.

In the next module you will continue to practise identifying and explaining errors in polynomial multiplication and polynomial factorization.

Â