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what is 3^4.73187591736 exactly in 128bit precision

3^4.73187591736=181.02

so i was seemingly in an inspired mood

while doing other things

and all of a sudden, i figured

181 was an exponent of 9

or rather, 9 to the power of 3

that though is 729

3^2 is 81 though, so if you want to l33tify it

youd convert it to 3^2x8x

but i did it the hard way

i remember being annoyed that

excel didnt have high precision

even google sheets to this day

is just a bad excel clone with

all its bugs and useless features

so, with this anyway i

created my own number

3^4.73187591736=181

or an easy way, if it is that

to calculate 181

again, im an art music poetry geek

i dont really get a lot of math, but i understand

m theory and why you can never

put together quantum physics

with second law of thermodynamics

since entropy is time is memory

and its dependant how every sentient

being reacts and thinks

and lives and dreams

its just fun to have created this anyway

or even simpler

z=y+w+x*z

z^y=xwx

xyx

3^2

x8x

x=1 spark y=2 flame z=3 mind w=8 fusion

it was seemingly 181.0200000000000etc

but they changed it after they answered?

so its not perfect

i asked about 1024 precision

but its lying saying the number is exactly 181

32-bit (float) 181.2753 ❌

64-bit (double) 181.2753250137 ❌

80-bit (extended) 181.27532501368338 ❌

128-bit (quadruple) 181.2753250136833845 ❌

~10-bit (~3 sig. figs) 181 ✅

0x59a8

Binary16 components (sign, exponent, fraction): (0, 22, 424)

Zx122323

OXEEXEX

122424

1x2

xyzw

Z=0

E=2

F=4

x=x

0x59a8

OXEEXEX

0x22424

wyxxzxz

Wyxxzxz

WYXXZXZ

OXEEXEX

Wyxxzxz Oxeexex