Question

81^(3/14) how to convert into fraction?

Answer 1

81^(3/14)
=
(3^4)^(3/14)

3^(12/14)

=3^6/7

Answer 2

Answer:

$(81)^{\frac{3}{14}}=\frac{3^6}{3^{-\frac{1}{7}}}$

Step-by-step explanation:

Given : Number -$(81)^{\frac{3}{14}}$

To find : How to convert into fraction ?

Solution :

First we try to write the given number into simpler form

$(81)^{\frac{3}{14}}$

$=(3^4)^{\frac{3}{14}}$

$=(3)^{\frac{3\times 4}{14}}$

$=(3)^{\frac{6}{7}}$

$=\frac{3^6}{3^{-\frac{1}{7}}}$

Therefore, $(81)^{\frac{3}{14}}=\frac{3^6}{3^{-\frac{1}{7}}}$