Question

Help please I actually don’t understand this one question

Answer 1

`a=(1)/(15)`

Explanation:

`\frac{\sqrt[5]{x} }{(x^(1)/(5) )^(4) } = x^(a)`

`\frac{\sqrt[5]{x} }{x^(4)/(5) } =x^a`

Fractional exponets according to the exponents properties the denominator can be changed to be a radical like this

`\frac{\sqrt[5]{x} }{\sqrt[5]{x^4} }`

Now we can turn this into one big radical

`\sqrt[5]{(x)/(x^4) }`

simplify

`\sqrt[5]{x^(1)/(3) }`

Now you can turn the radical into an exponent

`x^((1)/(3) )/(5)`

Simplify

`x^{(1)/(15) }`

I really hope this helps I tried to find photos to show the rules I used but for some reason they won't save to my computer. Let me know if you have questions and if the answer was right