3 with the power of 5 equals 243. Explain how to use that fact to quickly evaluate 30.

Step-by-step explanation: When you are dealing with an unfamiliar number, or one that is quite big, break it down into the product of its prime factors.

This is especially true when you are working with roots.

By easy short division you will find that:

243

=

3

×

3

×

3

×

3

×

3

=

3

5

Now the question is a piece of cake! (or EZ as  

π

)

Let the unknown base be  

x

x

5

=

243

=

3

5

x

=

3