True or False:

Algebra Level 2

If X to the power of X is equal to Y to the power of Y,

then X must be equal to Y?

No Yes

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1 solution

Henry U
Oct 29, 2018

What about

X 0.09441 , Y 0.74 X X 0.8002606253813772 , Y Y 0.8002606685816319 X \approx 0.09441, Y \approx 0.74 \Rightarrow X^X \approx 0.8002606253813772, Y^Y \approx 0.8002606685816319 ?

(The small difference is because of rounding errors)

What about ( 1 / 2 ) ( 1 / 2 ) = ( 1 / 4 ) ( 1 / 4 ) = 1 2 (1/2)^{(1/2)}=(1/4)^{(1/4)}=\frac{1}{\sqrt{2}} ?

Otto Bretscher - 2 years, 7 months ago

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