Series question: find 0.01^0.01

[Michael_Light]

Homework Statement

By expressing x^x as a power of e and using the exponential series, or otherwise, find (without using tables) the value of x^x when x=0.01, correct to three places of decimals. (ln10 = 2.30 to two decimal places).

Homework Equations

The Attempt at a Solution

I have tried to playing around with the exponential series and ln 10 = 2.3, but still can't get anything useful... can someone guide me?

 

[tiny-tim]

Hi Michael!

By expressing x^x as a power of e

But you haven't done that …

you've written e^xx …

you're being asked to find y, where e^y = x^x ​