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Home > CALC > Chapter 5 > Lesson 5.3.3 > Problem 5-131



Wei Kit sure loves exponents! He's decided to rewrite all the numbers around him so that they have an exponent. For example, instead of writing the number , he writes:

He insists he can also write the number as and !

  1. Explain why Wei Kit's expressions all equal .

    First consider just the exponent: It can be translated as to the power of something that makes become .'
    Now consider the entire expression: is being raised to that 'something' that makes become ...
    Consequently, the expression .

  2. Use Wei Kit's method to rewrite the number in two different ways.

    One way: 
    Find another way.

  3. Simplify this expression:

    Refer to previous hints.

  4. How could Wei Kit rewrite so that it has a base of ?

    One way: