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Mathematics 20 Online
OpenStudy (ayonnaleflore):

Which radical expression is equivalent to ?

OpenStudy (tennis5518):

what the number

OpenStudy (ayonnaleflore):

the first is the rest of the question and the second is the answer choices

jhonyy9 (jhonyy9):

what is there please 3^(1/4) and what is the next exponent ?

jhonyy9 (jhonyy9):

are you here ?

OpenStudy (ayonnaleflore):

i attached the answer choices with the rest of the question (27) 3^(9) 3^(6) 3

jhonyy9 (jhonyy9):

so there is 3^(1/4) and these all has an exponent of how many ?

jhonyy9 (jhonyy9):

6 or 8 ?

OpenStudy (ayonnaleflore):

its not 3^1/4 its 3 and 1/4

OpenStudy (ayonnaleflore):

lie the mixed number

jhonyy9 (jhonyy9):

ok but how you have posted it so this mean that there is 3 on power 1/4 ok?

jhonyy9 (jhonyy9):

so and what is this external number ? 6 ? or 8 ?

OpenStudy (ayonnaleflore):

no its not a power \[3 \frac{ 1 }{ 4 }\]

OpenStudy (ayonnaleflore):

the answer choices are \[\sqrt{27} , \sqrt[3]{9} , \sqrt[3]{6} , and 3\]

jhonyy9 (jhonyy9):

but how i see it that you have posted this wan being 3 on power 1/4 but you need tel me please the 3rd number what is there because i dont see it right - sorry need being after these choices or 6 or 8

OpenStudy (ayonnaleflore):

i dont get what your asking me

jhonyy9 (jhonyy9):

so there is 3 and 1/4 and ? what is the 3rd number ?

OpenStudy (ayonnaleflore):

6

OpenStudy (ayonnaleflore):

u there

jhonyy9 (jhonyy9):

ok this is exactly how i have thought it so you need to know that sqrt3 you can rewriting in form exponential 3^(1/2) from what result that always the denominator of this fraction exponent mean the index of radical how you see it in this case sqrt3 = 3^(1/2) so 2 the denominator is the index of square root - yes ? so there are exqctly how i have said to you 3 on exponent 1/4 and these all on exponent 6 so you need to know again that (a^x)^y = a^(x*y) than you know these property of exponents use in this your exercise (3^(1/4) )^6 = 3^((1/4)*6) = 3^(6/4) but 6/4 you can simplifie it by 2 and will result 3/2 this mean that you will get (3^(1/4) )^6 = 3^(3/2) - because you know after i have said to you above that the denominator of fraction from exponent mean the index of radical so this mean that will get sqrt(3^3) = 3^3 = 3*3*3 = 27 so you have got there like result sqrt27 what is there in these choices

jhonyy9 (jhonyy9):

hope you will can understanding all these right sure was my pleasure good luck bye

OpenStudy (ayonnaleflore):

thanks

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