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why pentation doesn't have a sign like tetration?

I got answer 3, (x+1)^x=64 (3+1)^3=64 (4)^3=64 (4)(4)(4)=64 (16)(4)=64 64=64 🎉

2

You made a meal out of this! (1 + sqrt(5)) / 2 is the golden ratio, so use x^2 = x + 1 to keep things simple!

2^2^2^2^2 is bigger

The golden ratio. This is for people that have a good perception on mathematics, probably a very nice test for spotting gifted people. We need them. As an engineer however you would put this into a calculator at least and come up with a numerical approximation, if you have an issue you call the mathematics department. However I heard even graph theorists mocking those in the field " I received the PhD, but still dont understand why you need to remove the squareroot from the denominator" 😅. While this problem is a little bit different the joke refers to the fact, that you want to solve such tasks if you have a desire to find the beauty of numbers aka masochist enough to dive into the depth of combinatorics, quantum physics, analysis, otherwise save your time and use the tools we already have.

2 with any number of arrows and then another 2 is always equal to 4.

Now try something a little higher, like 3^3... Exponentiation, it becomes 27. Tetration gives 7.6 trillion. Pentation gives a stack of 3s, towering 7.6 trillion copies long. In other words, it is 3³ repeated 7.6 trillion times. Good luck solving that!

5

262144

4 2=65536

3 2=16

2^3=8 Did it in my head.

Sorry, but you've made too much of a meal of this. This is not how the people who set this problem want you to solve it... It's easy to see that... x^2 = x+1, so x^4 = 3x+2, so x^6 = 8x+5, so, finally x^12 = 144x+89 Then the result is easy to compute. That, or something like it, is probably how the people who set the question wanted it to be solved. I always take the view with questions like this that if the chosen method looks too much like hard work, then you've missed a trick!

I can’t wait to learn this at school

Alternative solution Say x = (1+sqr5)/2 Then x^2 = x+1 and 3rd power of both sides x^6 = x^3 + 3x^2 + 3x + 1; back substitute for x^2 we get x^6 = 8x + 5 Squaring both sides x^12 = 144x + 89 Substitute for x; we get x^12 = 72√5 + 161

God dammit your handwriting is bad😂

C

2^-2x×4^2×=1/4=1/2^2x×2^ 4x=1/2^2 2^2x=2^-2 2x=-2 X=-1

9^10(1+1+1)=3^2×10+1=3^20+1=3^21(C)

(16×2)^1/2+(9×2)^1/2 =4(2)^1/2+3(2)^1/2=7(2)^1/2(c)

(3+6/1)^1/2==9^1/2=3(c)

5^4^2^-1=5^4^1/2=5^2

That's what I was thinking I studied in middle school n as far as i remember it should be (a-b)^2 =a^2-2ab+b^2.

B

(400+400=800)/1600=1/2

At the 3:20 you show (-1)² over 1! Equal to -¹⁄₁ shouldn't (-1)² equal +¹⁄₁ ?

Are u using screen protector on your MacBook? Can the MacBook be closed normally? Does the keyboard press ir touch the screen now it has a screen protector?

I have doubt. What is 2 iteration to -1 Like what is negative tetration?

24 🎉

А.

√2=1,4.....~1 1^1^4=1^4=4

2^^^^3 hexation finally becomes too large a number to print. It is 2^^^65,536.

Would not penyation have a power tower of 2's, 65000 levels high

After watching some videos, I will try to explain 7 growing levels of making a number bigger. If the explanations aren’t clear, I’m sorry, as I’m only a Gr. 5 student, and I’m only doing this out of boredom. Here are the levels: 1. Succesion 2. Addition 3. Multiplication 4. Exponentiation 5. Tetration 6. Pentation 7. Hexation 1. Succesion is basically adding 1 to the number, which we will set as A, pretty simple. So if A was 1, then Succesion would simply add 1 to it, therefore the equation would be: 1+1, which equals 2. 2. Addition is repeated Succession. It is adding A and B together, which could also be written as adding 1 to A a B amount of times. 3. Multiplication is repeated edition. It is adding A to B, a C amount of times. 4. Exponentiation is repeated Multiplication. It’s multiplying the answer of A times B, a C amount of times. 5. Tetration is repeated Exponentiation. It is exponentiating A to B, a C amount of times. 6. Pentration is repeated Tetration. It is tetrating A to B, a C amount of times. 7. Hexation is repeated Pentration. It is pentrating A to B, a C amount of times. Hopefully that made sense, and keep in mind I’m only in Gr. 5.

Answer is 1

X=2 D. None

'Promo sm'

Put y=x+1 to give (y+4)!/y!=360. This gives the result that the four consecutive numbers immediately greater than y multiply together to give 360 i.e 3,4,5 and 6. Therefore y=2 and x=y-1=1.

3

3

C)7√2

5^(-8) or 1/(5^8)

B)16.56

B) 15

A

4

1/2

27 answer

15