\sqrt[3]{1000a {}^(6) } Simplify

asked Feb 27, 2021 218k views

2 votes

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

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4 votes

Answer:

10a^2

Explanation:

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

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

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

Speakr answered Mar 3, 2021