How to simplify $e^{6b}$

Question

Am I "allowed" in math to simplify $e^{6b}$ to $(e^{2b})^3$? If not, is there any other way to simplify $e^{6b}$ to $e^{2b}$?

score 1 · Accepted Answer · edited May 23 '21 at 03:36

1

Yes you are allowed to. $e^{6b}=({e^{2b}})^3$. This is because $a^{bc}={(a^b)^c}$

edited May 23 '21 at 03:36

Shubham Johri

answered May 23 '21 at 03:18

Thank you very much :) – Heba May 23 '21 at 03:22
2

...for nonnegative $a$. – May 23 '21 at 03:22
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I have added a bracket to your answer. $e^{2b^3}$ is ambiguous, it could also mean $e^{(2b^3)}$. – Shubham Johri May 23 '21 at 03:37
@ShubhamJohri okay thanks – May 23 '21 at 03:37
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$2b$ or not $2b$? – copper.hat May 23 '21 at 03:41

1 Answers1