![\:\sqrt[3]{200k^{15}}=2k^5\sqrt[3]{25}](/tpl/images/1080/9228/7cbf4.png)
![\sqrt[3]{200k^{15}}](/tpl/images/1080/9228/b339d.png)
![\sqrt[n]{ab}=\sqrt[n]{a}\sqrt[n]{b},\:\quad \mathrm{\:assuming\:}a\ge 0,\:b\ge 0](/tpl/images/1080/9228/e5ebd.png)
![\sqrt[3]{200k^{15}}=\sqrt[3]{200}\sqrt[3]{k^{15}}](/tpl/images/1080/9228/dbeca.png)
![\sqrt[3]{k^{15}}](/tpl/images/1080/9228/9a1d9.png)
![\sqrt[n]{a^m}=a^{\frac{m}{n}},\:\quad \mathrm{\:assuming\:}a\ge 0](/tpl/images/1080/9228/6b27c.png)
![\sqrt[3]{k^{15}}=k^{\frac{15}{3}}=k^5](/tpl/images/1080/9228/61874.png)
![\sqrt[3]{200}](/tpl/images/1080/9228/7cf8c.png)
![=\sqrt[3]{2^3\cdot \:5^2}](/tpl/images/1080/9228/d86de.png)
![=\sqrt[3]{2^3}\sqrt[3]{5^2}](/tpl/images/1080/9228/ce39c.png)
![\sqrt[n]{a^n}=a,\:\quad \:a\ge 0](/tpl/images/1080/9228/3f24e.png)
![=2\sqrt[3]{5^2}](/tpl/images/1080/9228/fc117.png)
![=2k^5\sqrt[3]{25}](/tpl/images/1080/9228/2ac65.png)
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