Can you Pass Stanford University Admission Simplification Problem ?

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[@timothybohdan7415]

Much quicker and easier to just treat 5^11 as 5^4 x 5^4 x 5^3, which is 625 x 625 x 125. Multiply 625 x 625 and then multiply that product by 125. Then subtract 9. This is much faster than the method shown.

[@trwent]

Your last sentence is redundant.

[@aisawaloki1571]

Yes, calculating 5^11 by hand is indeed quite easy

[@ronaldmcyr156]

Takes less time to just multiply out the numbers.

[@frankcoverjr.-jz3ne]

Thank you! I did it in at most 3 minutes.

[@tunneloflight]

After puzzling over this, the simplest solution seemed to me to be E = ((5^5)^2)*5 - 9; 5^5=3,125; so by long multiplication 3,125*3,125 = 9,765,625 then 9,765,625 * 5 = 48,828,125, and finally 48,828,125 - 9 = 48,828,116; or written out using segmentation and group multiplication, 3,125 * 3,125 = 3,000 * 3,125 + 100 * 3,125 + 20 *3,125 + 5 * 3,125 =9,765,625

[@superacademy247]

Wow! ✅

[@rogerphelps9939]

Riduculous. Making a meal of an extremely simple problem.

[@dalepeters4927]

Explains why Stanford is down the tubes?

[@rpij688]

5 x 3125 x 3125 - 9 is just as simple as 5 x 3126 x 3124 - 4, without the unnecessary steps of the first 4 minutes.

[@UlricGrim]

I would just do:
5 x 5 x 5 x 5 x 5 x 5 x 5 x 5 x 5 x 5 x 5 = 48,828,125
3 x 3 = 9
48,828,125 - 9 = 48,828,116
So the answer is 48,828,116.
I would of course do this all on paper by hand since no calculators are allowed. There’s no reason whatsoever to make it complicated, it’s as easy as that.

[@rabotaakk-nw9nm]

5¹¹=5•5•5•5•5•5•5•5•5•5•5 ??? 😳
5¹¹=(10/2)¹¹=10¹¹/2¹¹=
=10¹¹/2/2/2/2/2/2/2/2/2/2/2 😁

[@nickwilkins4661]

Totally agree with everyone else. Much quicker and easier to just multiply the numbers out from the word go.

[@David2718281828]

There is no one best way to do this problem. But with no calculator, I chose 100,000,000,00 ÷ 2048 - 9

[@ranfuchs3592]

So, you did not ask for simplification but for a number. As, in any case you did long multiplication, it would have been faster to do a = 625 * 625 * 125 - 9

[@l.w.paradis2108]

Wow. When I saw all the bases and exponents were different prime numbers, I didn't see where to start, though of course was looking for x^2 -- y^2 somewhere.
This was great.

[@superacademy247]

Thanks for your positive vibe🤩🤩🤩

[@walterwen2975]

Stanford University Admission Simplification Problem: 5¹¹ - 3² =?
5¹¹ = (5²)(5³)³ = (25)(5³)(5³)² = (25)(125)(125²)
125² = (10² + 25)² = 10⁴ + 5(10³) + 25² = 10⁴ + 5(10³) + 625 = 10⁴ + 5(10³) + 6(10²) + 25
5[10⁴ + 5(10³) + 6(10²) + 20 + 5] = 5(10⁴) + 25(10³) + 30(10²) + 10² + 25
= 7(10⁴) + 8(10³) + 10² + 25
5[7(10⁴) + 8(10³) + 10² + 25] = 35(10⁴) + 40(10³) + 5(10²) + 10² + 25
= 39(10⁴) + 5(10²) + 10² + 25 = 3(10⁵) + 9(10⁴) + 6(10²) + 25
5[3(10⁵) + 9(10⁴) + 6(10²) + 25] = 15(10⁵) + 45(10⁴) + 30(10²) + 10² + 25
= 10⁶ + 9(10⁵) + 5(10⁴) + 3(10³) + 10² + 25
(125)(125²) = 10⁶ + 9(10⁵) + 5(10⁴) + 3(10³) + 10² + 25
(25)(125)(125²) = (20 + 5)[10⁶ + 9(10⁵) + 5(10⁴) + 3(10³) + 10² + 25]
= 20(10⁶) + 180(10⁵) + 100(10⁴) + 60(10³) + 20(10²) + 500
+ 5(10⁶) + 45(10⁵) + 25(10⁴) + 15(10³) + 5(10²) + 125
= 25(10⁶) + 225(10⁵) + 125(10⁴) + 75(10³) + 25(10²) + 625
= 25(10⁶) + [22(10⁶) + 5(10⁵)] + [10⁶ + 2(10⁵) + 5(10⁴)] + [7(10⁴) + 5(10³)] + 3125
= 48(10⁶) + 7(10⁵) + 12(10⁴) + 5(10³) + 3(10³) + 10² + 25
= 4(10⁷) + 8(10⁶) + 8(10⁵) + 2(10⁴) + 8(10³) + 10² + 25 = 48828125
5¹¹ - 3² = 48828125 - 9 = 48828116

[@superacademy247]

Great 👌 process. Nice 👍 solution.✅

[@風拂塵峰望晨]

5x2(3126x1562)-4=10x(3126x1000+3126x562)-4,then 3126x562 can be easier to caculate

[@pamnetwork7787]

Nice information

[@superacademy247]

Thanks 🤩

[@andytraiger4079]

Was the intent to solve the question in the hardest way possible? I can devise a harder solution then yours. How about changing the numbers to base 17 before calculating...

[@patricivyvincent5468]

😊

[@superacademy247]

🤩

[@X00000370]

Good practice.

[@superacademy247]

😍✅

[@ngsiukau]

Just multiply the numbers and subtract, it seems faster than the method here

[@user-drphil]

They drag out the solution which is torture for those of us interested in the problem.

[@RealQinnMalloryu4]

5^11^1 ➖ 3^1 5^1^1 ➖ 3^1 1 ➖ 3^1 3^1 (x ➖ 3x+1).

[@jyotisirkiclass8347]

Unusually Very long procedure.

[@Km70018]

I usually use calculator it is much easier than anything 😂 why do i have to choose long way if i have tools to make smthgs easy❤

[@superacademy247]

Good question! But you've to follow instructions.

[@Km70018]

@@superacademy247 😀😜🤣🤣

[@johnlv12]

I like your solution too.
5^5=5*25^2=5*625=3125
Next, use a trick for squaring numbers that end in 5
5^10=3125^2=(300+12)(300+13)100+25=(90000+7500+156)100+25=9765625
5^11=5*5^10=97656250/2=48828125

[@superacademy247]

Great 👌 trick.🙏🙏🙏

[@RyanLewis-Johnson-wq6xs]

It’s in my head

[@cyruschang1904]

5^11 - 3^2 = 25(125^3) - 9
125 x 125 = 12500 + 2500 + 625 = 15625
125^3 = 15625 x 125 = 1562500 + 312500 + 78125 = 1953125
25(125^3) = (125^3)(100)/4 = 195312500/4 = 48828125
5^11 - 3^2 = 48828125 - 9 = 48828116

[@sasuketaka5971]

Please write with a spidol, I can't see your writing

[@JoseLuisGomezVelasquez]

Todo esto es perder el tiempo ... entonces para que se inventaron las calculadoras...?

[@rd9831]

Is phoning a friend allowed for standird admission test ?

[@thecs7428]

Décomposition en base 10 vow

[@RyanLewis-Johnson-wq6xs]

3^2=9

[@bartligligen2196]

Why do you have to make it complecsted.

[@marceliusmartirosianas6104]

5^11-3^2= 11-2=9

[@AdrianCHOY]

Can it be so easy? Stanford seemed nerfed.

[@JoseGomez-yg1yd]

Porque siempre se copia el enunciado otra vez?

[@superacademy247]

Which statement?

[@Haluzang]

Seems complicated than just multiply the numbers haha

[@jesusk1358]

I don't think they didn't know that one can multiply numbers out. They want to know that ome is able to manipulate such equations.

[@patrickguy8797]

Un calcul direct va encore plus vite. C'est stupide comme question.

[@Юрий-ч4ъ4л]

Задача 9 класса Советской Школы.

[@raghavendrashettar7518]

Not satisfied

[@风呵呵]

这个思路有点奇怪

[@次野先生]

풀이가 복잡함

[@Sam-ms4um]

This question is sooo dumb.

[@superacademy247]

But educational

[@송현민-u3d]

걍 곱해라 뭔 헛짓이냐

[@mak9711]

What a stupid solution you have given

[@baselinesweb]

No. Just multiply the freaking numbers. 15625*3125 - 9

[@henrylei1305]

Why “smart” people want to make simple things complicated to show its “smart “😂