Respuesta :
First note that the nth root of a number, a, is a^(1/n).
So you have:
(x^5)^(1/8)
Next note that (a^b)^c=a^(bc) so you have:
x^(5(1/8))
x^(5/8) or if you'd rather have a decimal...
x^(0.625)
So you have:
(x^5)^(1/8)
Next note that (a^b)^c=a^(bc) so you have:
x^(5(1/8))
x^(5/8) or if you'd rather have a decimal...
x^(0.625)
Answer with explanation:
Eighth root of x to the fifth power in exponential form can be written as:
[tex]=[x^{\frac{1}{8}}]^5\\\\=x^{\frac{5}{8}}\\\\ \text{Using the rule of indices}\\\\(x^a)^b=x^{ab}[/tex]