Simplify the Expression (8 p^4 q^7)^(1/5) (4 p^6 / q^2)^(1/5)

[CarterS]

\(\displaystyle \left(8\,p^4\,q^7\right)^{\frac{1}{5}}\, \left(\dfrac{4\, p^6}{q^2}\right)^{\frac{1}{5}}\)

---

Need help simplifying!

 

[Harry_the_cat]

Need help simplifying!

Are you familiar with the index laws:

\(\displaystyle (ab)^n=a^nb^n \) and \(\displaystyle (\frac{a}{b})^n =\frac{a^n}{b^n}\) ?

 

[stapel]

\(\displaystyle \left(8\,p^4\,q^7\right)^{\frac{1}{5}}\, \left(\dfrac{4\, p^6}{q^2}\right)^{\frac{1}{5}}\)

---

Need help simplifying!

Since you are unable even to get started, I will guess that you aren't familiar with the afore-mentioned exponent rules. To learn how to simplify with exponents, please study at least two lessons from this listing. Once you have learned the basic terms and techniques, please attempt the exercise. If you get stuck, you can then reply with a clear listing of your efforts so far, at which point we can provide you with specific assistance.

Thank you!