what is the value of 9^9^9 ?

Question

9^9^9 = 9to the power 9to the power 9

Answer 1

That depends on how you interpret it. If you evaluate this from left to right (e.g. (9^9)^9, then it is:

196 62705 04755 52913 61807 59085 26912 11628 31034 50944 21476 69273 15415 53796 63911 96809

On the other hand, the convention for evaluating power towers is to evaluate them from right to left (this is because iterated exponents evaluated from left to right can be described efficiently without the use of iteration. For instance, the above number could easily be given as 9^(9²) or 9^81). Evaluating them in this fashion produces a substantially larger number: 9^387,420,489 This number is a little too large to write here, as it has 369,693,100 digits (you could, in principle, calculate this number if you were willing to use a lot of hard drive space). Note that under this scheme, 9^9^9^9 (or 9 ￪￪ 4, using Knuth's up arrow notation) would be so large that all the atoms in the known universe would be insufficient to write out its digits. As you can see, iterated exponentiation can produce VERY large numbers, VERY fast.

Answer 2

9^9^9 = 9^9 x 9^9 x 9^9 x 9^9 x 9^9^ x 9^9 x 9^9 x 9^9 x 9^9

9^9= 9 x 9 x 9 x 9 x 9 x 9 x 9 x 9 x 9 = 81 x 81 x 81x81x9
= 387420489
9^9^9 = 387420489 x 387420489 x 387420489 x 387420489 x 387420489 x 387420489 x 387420489 x 387420489 x387420489

Answer 3

9^81

Answer 4

each day, Gold expenditures flow up and down. For Troy ounce of Gold As of 8/25/10, is $a million,239.01 with the purpose to respond to your question. it really is Approx. nicely worth $620.00. yet as a coin value, it would nicely be nicely worth extra.

Answer 5

Too big for my calculator. The number has 10^8 zeros. But it's smaller than a googolplex (10^10^10)

Answer 6

from the index rule
A^x^y=A^xy
9^9^9=9^81=1.966270*10^77

Answer 7

Answer: 1.96627050475552913611807590852691E+77

Answer 8

Idont know but last digit is 9 for sure

Answer 9

9^9^9 =1.9662 7050 4755 5291 3618 0759 0852 691 e+77

Answer 10

1.966 power 77