Question

{}^{6} } " alt=" \sqrt[3]{1000a {}^{6} } " align="absmiddle" class="latex-formula">
Simplify
​

Answer 1

Answer:

$10a^2$

Step-by-step explanation:

$\sqrt[3]{1000a^6}$

$\mathrm{Apply\:radical\:rule\:}\sqrt[n]{ab}=\sqrt[n]{a}\sqrt[n]{b},\:\quad \mathrm{\:assuming\:}a\ge 0,\:b\ge 0$

$=\sqrt[3]{1000}\sqrt[3]{a^6}\\10\sqrt[3]{a^6}\\10\sqrt[3]{\left(a^2\right)^3}\\10a^2$