Math Is Fun Forum

mathxyz

Member

From: Brooklyn, NY

Registered: 2024-02-24

Posts: 1,053

Number Raised To Itself

What is the best and fastest way to raise a number to itself several times?

Sample:

What is 3^(3)^(3)^(3)?

Bob

Administrator

Registered: 2010-06-20

Posts: 10,623

Re: Number Raised To Itself

When you encounter repeat indices like this the rule is work from the top down.

So 3^(3^27)=3^(3×3×3×....3)

That's one BIG number.

Bob

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Children are not defined by school ...........The Fonz
You cannot teach a man anything;  you can only help him find it within himself..........Galileo Galilei
Sometimes I deliberately make mistakes, just to test you!  …………….Bob

mathxyz

Member

From: Brooklyn, NY

Registered: 2024-02-24

Posts: 1,053

Re: Number Raised To Itself

When you encounter repeat indices like this the rule is work from the top down.

So 3^(3^27)=3^(3×3×3×....3)

That's one BIG number.

Bob

Thanks. Yes, it's a huge number that we can write using scientific notation.

Agree?

Bob

Administrator

Registered: 2010-06-20

Posts: 10,623

Re: Number Raised To Itself

Have to. I'd start by using logs

Bob

---

Children are not defined by school ...........The Fonz
You cannot teach a man anything;  you can only help him find it within himself..........Galileo Galilei
Sometimes I deliberately make mistakes, just to test you!  …………….Bob

mathxyz

Member

From: Brooklyn, NY

Registered: 2024-02-24

Posts: 1,053

Re: Number Raised To Itself

Have to. I'd start by using logs

Bob

Using longs? How?