The simplified form of the given equation is [tex]=\frac{6}{5x^{10}}[/tex]
We have given that,
[tex]\sqrt{\frac{72x^{16}}{50x^{36} }[/tex]
Apparently, you want to simplify the given equation,
[tex]\sqrt{\frac{72x^{16}}{50x^{36} }[/tex]
The applicable rules of exponents are,
(a^b)(a^c) = a^(b+c)
1/a^b = a^(-b)
(a^b)^c = a^(bc)
So the expression simplifies as
[tex]=\sqrt{\frac{72x^{16}}{50x^{36} }}\\\\=\frac{6}{5x^{10}}[/tex]
Therefore the simplified form of the given equation is [tex]=\frac{6}{5x^{10}}[/tex]
To learn more about exponential form visit:
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