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0
104
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how it works ??? 81^0.25 ??? answer is 3 how ??

Guest Jul 2, 2017

#1
+26231
+1

0.25 is 1/4, so  81^0.25 is 81^(1/4)  This means the fourth root of 81.  That is, it is a number which, when raised to the power of 4 equals 81.

3^4 = 3*3*3*3 → 9*9 → 81

.

Alan  Jul 2, 2017
Sort:

#1
+26231
+1

0.25 is 1/4, so  81^0.25 is 81^(1/4)  This means the fourth root of 81.  That is, it is a number which, when raised to the power of 4 equals 81.

3^4 = 3*3*3*3 → 9*9 → 81

.

Alan  Jul 2, 2017
#3
0

Thank you very much!

Guest Jul 2, 2017
#2
0

Are you not happy with Alan's answer? Why?

You take the square root of 81 =sqrt(81) = 9. Now, you take the square of 9 this time=sqrt(9) = 3.

In other words, when you see 81^0.25 =81^1/4, it means that you must take the square root of 81 twice, or the square root of a square root =81^1/2 =9^1/2 =3 because 3^2 x 3^2 =81.

Guest Jul 2, 2017
#4
0

Thank you too!!

Guest Jul 2, 2017

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