Math Is Fun Forum

sologuitar

Member

Registered: 2022-09-19

Posts: 467

Raise to the Square Three Times

How is this done?

(x^2)^(2)^(2)

Let me see.

(x^2)^4 = x^8

Yes?

Last edited by sologuitar (2023-11-12 14:25:35)

Bob

Administrator

Registered: 2010-06-20

Posts: 10,190

Re: Raise to the Square Three Times

Yes.

But try 2^3^5

B

---

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

sologuitar

Member

Registered: 2022-09-19

Posts: 467

Re: Raise to the Square Three Times

Yes.

But try 2^3^5

B

Let me see.

3^5 = 243

So, we now have 2^(243). I think this leads to a number that must be
expressed in scientific notation. Yes?

You say?

Bob

Administrator

Registered: 2010-06-20

Posts: 10,190

Re: Raise to the Square Three Times

Yes, I believe the rule is work the powers backwards like you have done.

ie not (2^3)^ 5 which yields a different answer.

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

sologuitar

Member

Registered: 2022-09-19

Posts: 467

Re: Raise to the Square Three Times

Yes, I believe the rule is work the powers backwards like you have done.

ie not (2^3)^ 5 which yields a different answer.

Bob

Cool.

Question:

Can you please change my username here to sologuitar?
You see, I am a guitarist.

Bob

Administrator

Registered: 2010-06-20

Posts: 10,190

Re: Raise to the Square Three Times

Yes I can.  Apologies for a lot of very short responses but there were a lot of them to get through.

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

sologuitar

Member

Registered: 2022-09-19

Posts: 467

Re: Raise to the Square Three Times

Yes I can.  Apologies for a lot of very short responses but there were a lot of them to get through.

Bob

1. Thanks for changing my username.

2. If questions are easy, I will post several problems.

3. If questions are harder, I will post fewer problems.