Respuesta :

Answer:

2/5

Step-by-step explanation:

[tex]\sqrt[5]{x}[/tex] is equal to [tex]x^{1/5}[/tex] (Any number to the power 1/5 means to find the fifth root). Now we can do [tex]x^{1/5}[/tex] × [tex]x^{1/5}[/tex] (we would just add the powers). 1/5 + 1/5 = 2/5. The answer is [tex]x^{2/5}[/tex], so a = 2/5.

Hope this helps!

Answer:

a = 2/5

Step-by-step explanation:

[tex]x^{\dfrac{1}{5}}*\sqrt[5]{x}=x^{a}\\\\\\x^{\dfrac{1}{5}*x^{\dfrac{1}{5}}}=x^{a}\\\\\\x^{\dfrac{1}{5}+\dfrac{1}{5}}=x^{a}\\\\\\x^{\dfrac{2}{5}}=x^{a}[/tex]

Base are same. So, compare the exponents

a = 2/5