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90% Failed to answer correctly without calculators | Exponents with Percentage | Fun Algebra Problem

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Can you simplify this exponential problem with percentage?
Today I will teach you tips and tricks to solve the given question in a simple and easy way. Learn how to prepare for college entrance exa fast!
Step-by-step tutorial by PreMath.com
• 90% Failed to answer c...
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90% Failed to answer correctly without calculators | Exponents with Percentage | Fun Algebra Problem
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Опубликовано:

5 сен 2024

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Комментарии : 49

@KAvi_YA666 Год назад

Thanks for video.Good luck sir!!!!!!!!!

@PreMath Год назад

Thank you too, dear

@Triple_D8 Год назад

25%^25% = sin 45°

@PreMath Год назад

Great!

@remyhwoarangcano3304 Год назад

Clever boy! 😂😅😊

@xof-woodworkinghobbyist Год назад

I thought you wanted the result in percentage as well... since square root of 2 is about 1.4, the percentage result would be about 70%. Nice brain teaser. Thanks for making our brain work!!!

@MarieAnne. Год назад

Since calculators are not allowed, even in percentages, we would most likely be expected to give exact solution: 1/√2 = (100/√2)% = 50√2% Using a calculator does show that approximate solution = 70.71%

@devondevon4366 Год назад

Since 25% =1/4 1/4)^1/4 1/2)^1/2 square the base, compensate by doubling the exponent 2^-1)1/2 2^-1/2 1/2^1/2 1/ sqrt 2 1/sqrt 2 * sqrt 2/ sqrt 2 sqrt 2/2 Answer

@bigm383 Год назад

Thanks for a quick problem!

@PreMath Год назад

You are very welcome! Thank you! Cheers! 😀

@prithvisinghpanwar6609 Год назад

by simplifying i got to (1/2)½=x squaring both sides 1/2=x² x²-1/2=0 multiplying by 2 on both sides gives 2x²-1=0 (root(2)x+1)(root(2)x-1)=0 =>x=1/root(2) or x=-1/root(2) 25% to the power of 25% is equal to ± 1/root(2)

@soniamariadasilveira7003 Год назад

Obrigada, professor, abraços do Brasil!

@PreMath Год назад

You are very welcome! So nice of you, Sonia Thank you! Cheers! 😀

@nineko Год назад

It *is* easy, in fact I could easily solve it in my mind before I watched the video for confirmation, but I'll admit that I never noticed that ¼^¼ = ½^½, that's nice 😁

@PreMath Год назад

Thank you! Cheers! 😀

@devondevon4366 Год назад

Yes, since when there is an exponent and a base, if you find the square root of the base, you MUST compensate by doubling the exponent. so 4^1/8 = 2^1/4 since 2 * 1/8 = 1/4 And 1/4)^1/4 = 1/2 ^ 1/2) (since the square root of 1/4=1/2 and 2 * 1/4 =1/2)

@mathswan1607 Год назад

.25^.25=1/root(2) In percentage, answer should be 50root(2)%

@parthtomar6987 10 месяцев назад

It's simple🎉

@l.w.paradis2108 Год назад

Another "good grief I better be right" video, doing it in a few seconds in my head. Whew, yup. 😊

@raya.pawley3563 Год назад

Thank you

@Copernicusfreud Год назад

Yay! I solved it. 😊

@PreMath Год назад

Super!

@s1ng23m4n Год назад

The percentage of a number is a binary operator. In your task, I see an operator without a second operand. What doing this operator? Watch the video or... Let Per('empty', 'empty') - percentage operator where Per(a, b) = b * (a/100) Operator transforms into a function when all operands in places In my logic 25% its a Per(25, 'empty') operator. (25%)^25% = (Per(25, 'empty')) ^ Per(25, 'empty') (It is still an operator) (Per('empty', 'empty')) ^ Per('empty', 'empty') - New Some Binary Operator and let call it NSBO('empty', 'empty') NSBO(a, b) = (Per(a, b)) ^ Per(a, b) (Now it is a function created by a NSBO operator with "a" and "b" operands) Now we can apply NSBO operator to a some numbers: Let a = 25, b = 1 NSBO(25, 1) = (Per(25, 1)) ^ Per(25, 1) Per(25, 1) = 1 * (25/100) = 1/4 NSBO(25, 1) = (1/4) ^ (1/4) = 1 / sqrt(2) Note: Per(), NSBO() it is an operators named by myself and you can rename it how you want.

@noamrtd-g4f Год назад

Total genius!

@alfonsorodriguez2739 Год назад

I agree but I think you should just state that the problem doesn’t make sense and move on. In the process you rewrote his bad problem. It is like me saying what is the answer to subtract 25 then subtract 25 (-25-25) and you saying the answer is negative 50 (-50).

@batavuskoga Год назад

Solved it correct with the two possible and correct answers : 1/sqrt(2) and sqrt(2)/2

@devondevon4366 Год назад

1/sqrt 2 = sqrt 2/2 since you do not leave the radical in the denominator after obtaining 1/sqrt 2. So, 1/sqrt is multiplied by sqrt 2/sqrt 2 to turn sqrt 2 into the integer, 2. note that sqrt2/sqrt 2 =1; it does not change the value of 1/sqrt 2 since 1 is the multiplicative identity of a real number.