## icalibear one year ago Simplify cubed root of 512p^12?

1. icalibear

|dw:1436393526146:dw|

2. icalibear

anyone?

3. anonymous

$$\large { \sqrt[3]{512p^{12}}\qquad hint \begin{cases} 8^3=512\\ p^{12}=p^{3+3+3+3}=p^3\cdot p^3\cdot p^3\cdot p^3 \end{cases} }$$

4. jim_thompson5910

Rule: $\LARGE \sqrt[n]{x^m} = x^{q}*\sqrt[n]{x^r}$ q is the quotient when you divide m/n r is the remainder when you divide m/n if r = 0, then the $$\LARGE \sqrt[n]{x^r}$$ portion goes away