+0

Easy exponents question.But I just realized it :(

0
528
8
+7220

$$\text{What is}\sqrt[\frac{1}{5}]{3}\space? \text{Is it }3^5\space?$$

Jul 16, 2016

#3
+135
+10

$$\sqrt[1/5]{3} = 3^{\frac{1}{\frac{1}{5}}} = 3^5 ,$$Am I right?

Jul 16, 2016

#1
+135
+5

I don't have any thought , do you have any hint , 'cause you said you realized it is easy

Jul 16, 2016
#2
+7220
+10

$$\sqrt[n]{3}=3^{\frac{1}{n}}$$

MaxWong  Jul 16, 2016
#3
+135
+10

$$\sqrt[1/5]{3} = 3^{\frac{1}{\frac{1}{5}}} = 3^5 ,$$Am I right?

pro35hp  Jul 16, 2016
#4
+7220
+5

I think it is. :D

Jul 16, 2016
#5
+7220
0

Anyone online!! Is it right?

MaxWong  Jul 16, 2016
#6
+5

In general: x^(a/b) =bth root of x^a.E.G. 4^(3/5) =5th root of 4^3=64^(1/5)

Jul 16, 2016
#7
+7220
+5

I understood this but I just realized that $$\sqrt[\frac{1}{n}]{a^m}=a^{mn}$$

MaxWong  Jul 16, 2016
#8
+97561
+5

I have never seen a root written like that before but I would say that you are both correct :)

Jul 16, 2016