Question

Can someone solve this and explain it please

Answer 1

Answer:

2/5

Step-by-step explanation:

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

Hope this helps!

Answer 2

Answer:

a = 2/5

Step-by-step explanation:

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

Base are same. So, compare the exponents

a = 2/5