An expression that is equivalent to [tex] \sqrt[5]{13^3} [/tex] is [tex] 13^{\frac{3}{5} [/tex]
Answer:
[tex]13^\frac{3}{5}[/tex]
Step-by-step explanation:
[tex]\sqrt[5]{13^3}[/tex]
To get equivalent expression , we need to write the radical form into exponential form.
To convert it into exponential form, we apply the following rule
[tex]\sqrt[n]{x^a} =x^\frac{a}{n}[/tex]
WE move the radical to the denominator of exponent
[tex]\sqrt[5]{13^3}[/tex] becomes [tex]13^\frac{3}{5}[/tex]
Equivalent expression is [tex]13^\frac{3}{5}[/tex]
