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Home > PC > Chapter 3 > Lesson 3.1.1 > Problem 3-9



  1. Express as a fraction, and rewrite using this fraction.

  2. We can use the power law for exponents to break up this fraction into two factors. Find the value of so that .

  3. Rewrite your answer to part (b) as a certain root of raised to a certain power by copying and filling in the blanks of: .

  4. Why is it generally better to take the root first, especially when you're working without a calculator?

    The numbers remain smaller and therefore easier to work with.

  5. Do the calculation on your graphing calculator.

  6. Now calculate . How does this answer compare with the previous one?

  7. Reshma notices that the answer for is close to . Kahlil knows she could get closer by using more decimal places in the exponent. Use guess and check to find (to the nearest ) so that is as close to as possible.

  8. In a flash of brilliance, Reshma suddenly knows how to get several more decimal places instantly. What keys can she press on her calculator to do this?

    She can rewrite as , then calculate gives several more decimal places instantly.