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The answer for the question isn't defined. It can be either answers, so there is no certain accurate answer that we can base our answers on.
Because of the following
As x--> 0 the resulting value gets much closer to 1
So, 0⁰=1
However,
0⁰= 0¹‐¹= 0¹/0¹= undefined
So, both can actually work 😏
Hope it's clear 😁
@kharezmi
This is a English mock test provided by a teacher
We'll try to provide math
Best of luck 🍀
@kharezmi
Another way of approaching such a question is to use the following
Suppose that 50⁹⁹=a
And 99!=b
Since both a and b > 0
So, if a/b= 1
Then both a and b are equal
If a/b>1
Then a >b
If 0<a/b<1
Then a<b
Therefore,
50×50×50......50×50×50.....50×50×50
-----------------------------------------------------------
99×98×97..... 51×50×49....... 3×2×1
50×50. 50×50. 50×50. 50×50. 50
--------- × ---------- × ----------- × ---------×---- >1
99×1. 98×2. 97×3. 51×49. 50
Since 50×50=2500 and its obvious that the numerator is greater than the denominator, we can conclude that 50⁹⁹>99!
Hope the point is much clearer 👍👍
Best of luck 🍀
@kharezmi
As I mentioned before, this kind of question can be approached using different methods 😇😇
Make sure to correct these mistakes when you are viewing the pdf......
These mistakes were corrected by one of the group members.
Appreciate his help 🙏
Best of luck 🍀
@kharezmi
To compare 50⁹⁹ and 99!, we can write:
50⁹⁹ = 50 × 50 × 50 × ... × 50 (99 times)
99! = 1 × 2 × 3 × ... × 97 × 98 × 99
We can see that both numbers have 99 factors, all of which are less than or equal to 99. Therefore, we can compare each factor in 50⁹⁹ to the corresponding factor in 99!. We have:
50 > 1
50 > 2
50 > 3
...
50 > 49
50 = 50
50 < 51
50 < 52
...
50 < 97
50 < 98
50 < 99
From this, we can see that all the factors of 50⁹⁹ are greater than or equal to the corresponding factors in 99!. Therefore, 50⁹⁹ is greater than 99!.
Hence, 50⁹⁹ is the larger number.
Note:
There are more than one approach to that question.
+ .
That isn't related to any of the external exams that are being performed nowadays.
It's just a challenge
Best of luck 🍀
@kharezmi
