Rules of Exponents (4)^(1/5) * (4)^(1/5)

[mathdad]

Rules of Exponents

(4)^(1/5) * (4)^(1/5)

4^(1/5) + (1/5)

4^(2/5)

Correct?

Is the answer 2^(4/5)?

 

[MarkFL]

Yes, everything you posted is correct. (Yes)

 

[mathdad]

Yes, everything you posted is correct. (Yes)

What is the difference between 4^(2/5) and 2^(4/5) as the answer?

How can both answers be correct?

 

[MarkFL]

What is the difference between 4^(2/5) and 2^(4/5) as the answer?

How can both answers be correct?

They are just different form for the same number...just like 2^4 and 4^2 can both represent 16. :D

 

[HallsofIvy]

I hope that you know that $$4= 2^2$$! So $$4^{2/5}= (2^2)^{2/5}= 2^{4/5}$$.

 

[mathdad]

Thank you everyone.