The exponent rule shows that the [tex]75^{\frac{3}{5} } =75^{(\frac{1}{5})^3 }[/tex]
We have to show that the
[tex]75^{\frac{3}{5} } =75^{(\frac{1}{5})^3 }[/tex]
Here we have to apply exponent rule
Which exponent rule we use here?
[tex](a^b)^c=a^bc ...where (a\geq 0)[/tex]
use the above exponent rule,
[tex]\frac{1}{5}(3)=\frac{3}{5}[/tex]
Therefore we get right side is,
[tex](75^\frac{1}{5} )^3=75^\frac{3}{5}[/tex]
Therefore we get,
[tex]75^{\frac{3}{5} } =75^{(\frac{1}{5})^3 }[/tex]
The exponent rule shows that the [tex]75^{\frac{3}{5} } =75^{(\frac{1}{5})^3 }[/tex]
To learn more about the exponent rule visit:
https://brainly.com/question/847241
