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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 can Wei Kit rewrite so that it has a base of ?

    One way: